### Ha Huy Bang

 Full Professor, Doctor of Science Cộng tác viên Research interests: Fourier Analysis, Inequalities, Function Spaces

Office: Building A6, Room 505
Tel: +84 24 38361121 /505
Email: hhbang AT math.ac.vn

• 1982: BS, Rostov-on -Don National Univ. Russia
• 1988: Ph.D, Institute of Math, Vietnam
• 1995: DSc, Steklov Institute of Math. Russia
• 1996: Associate Professor
• 2003: Full Professor

PUBLICATIONS

#### List of publications in MathSciNet

List of recent publications
 1 Ha Huy Bang, Vu Nhat Huy, A Bohr-Nikol’skii Inequality for Weighted Lebesgue Spaces, Acta Mathematica Vietnamica, 44 (2019), pp 701–710, Scopus. 2 Sa Thi Lan Anh, Phan Thi Ha Trang, Trieu Quynh Trang, Ha Huy Bang, Unparticle Effects on Axion-Like Particles Production in e^+e^− Collisions, International Journal of Theoretical Physics, 57 (2018), pp 2015–2021.SCI(-E); Scopus. 3 Ha Huy Bang, Vu Nhat Huy, Local Spectral Formula for Integral Operators on $$L_{p}({\mathbb T})$$, Vietnam Journal of Mathematics, 45 (2017), 737–746, Scopus. 4 Ha Huy Bang, On a theorem of F. Riesz, Acta Mathematica Hungarica, 148 (2016), 360–369, SCI(-E); Scopus. 5 Ha Huy Bang, Vu Nhat Huy, Paley-Wiener theorem for functions in L_p(R^n). Integral Transforms and Special Functions 27 (2016), 715–730, SCI(-E); Scopus. 6 Ha Huy Bang, Vu Nhat Huy, A Study of the Sequence of Norm of Derivatives (or Primitives) of Functions Depending on Their Beurling Spectrum, Vietnam Journal of Mathematics, 44 (2016), 419–429,Scopus. 7 Ha Huy Bang, Vu Nhat Huy, A Bohr-Nikolskii inequality, Integral transforms and special functions, 27 (2016), 55 – 63, SCI(-E); Scopus. 8 Ha Huy Bang, Vu Nhat Huy, A Study of Behavior of the Sequence of Norm of Primitives of Functions in Orlicz Spaces Depending on Their Spectrum, Tokyo Journal of Mathematics, 38 (2015), 283-308, SCI(-E), Scopus. 9 Ha Huy Bang, Vu Nhat Huy, Some Extensions of the Kolmogorov–Stein Inequality, Vietnam Journal of Mathematics, 43 (2015), 173 -179,Scopus. 10 Ha Huy Bang, Vu Nhat Huy, The Paley–Wiener Theorem in the Language of Taylor Expansion Coefficients,  Doklady Mathematics, Vol. 86 (2012), 677 -- 680, SCI(-E); Scopus. 11 Ha Huy Bang, V. N. Huy, Studying behavior for sequence of norms of primitives of functions depending on their spectrum (in Russian),  Daklady Mathematics  440 (2011), 456 -- 458. 12 Ha Huy Bang, V. N. Huy, Behavior of the sequence of norms of primitives of a function in Orlicz spaces,  East Journal on Approximations  17 (2011), 127 -- 136. 13 Ha Huy Bang, V. N. Huy, New results concerning the Bernstein-Nikol'skii inequality, In:  Advances in Math. Research 16 (2011), 177 -- 191. 14 Ha Huy Bang, Nguyen Van Hoang, and V. N. Huy, Some properties of Orlicz-Lorentz spaces, Acta Mathematica Vietnamica 36 (2011), 145 -- 167, Scopus. 15 Ha Huy Bang, Nguyen Van Hoang, and V. N. Huy, Best constants for the inequalities between equiavalent norms in Orlicz spaces,  Bulletin of the Polish Academy of Sciences, Mathematics  59 (2011), 165 -- 174. 16 Ha Huy Bang, B. V. Huong, Behavior of the sequence of norms of primitives of a function in Lorentz spaces, Vietnam Journal of Mathematics 38 (2010), 425 -- 433, Scopus. 17 Ha Huy Bang, V. N. Huy, Behavior of the sequence of norms of primitives of a function,  J. Approx. Theory, 162 (2010), 1178- 1186. 18 Ha Huy Bang, Mai Thi Thu, A Gagliardo-Nirenberg inequality for Orlicz and Lorentz spaces on $\Bbb R^n_+$, Vietnam J. Math. 35 (2007),  415 - 427. 19 Ha Huy Bang, N. M. Cong, Bernstein-Nikolskii type inequality in Lorentz spaces and related topics. Vladikavkazskii Mat. J. 7 (2005), 17 - 27. 20 Ha Huy Bang, N. M. Cong, Generalizations of the Riesz convergence theorem for Lorentz spaces. Acta Math. Hungar. 106 (2005), 331 - 341. 21 Ha Huy Bang, Mai Thi Thu, A Gagliardo-Nirenberg inequality for Orlicz spaces, East J. Approx. 10 (2004), N03, 371 - 377. 22 Ha Huy Bang, Mai Thi Thu, A property of entire functions of exponential type for Lorentz spaces, Vietnam. J. Math. 32 (2004), 219 - 225. 23 Ha Huy Bang, Mai Thi Thu, A Landau-Kolmogorov inequality for Lorentz spaces, Tokyo J. Math. 27 (2004), N01, 13 - 19. 24 Ha Huy Bang, Theory of Orlicz spaces (in Vietnamese) - Lý thuyết không gian Orlicz, NXB Đại học Quốc gia Hà Nội, 2003, 385 trang. 25 Ha Huy Bang, Mai Thi Thu, A Landau-Kolmogorov inequality for Orlicz spaces, J. Inequal. Appl. 7 (2002), 663 - 672. 26 Ha Huy Bang, H. M. Giao, On the Kolmogorov Inequality for M Φ -Norm, Appl. Anal. 81 (2002), 1 - 11. 27 Ha Huy Bang, An inequality of Bohr and Favard for Orlicz spaces. Bull. Polish Acad. Sci. Math. 49 (2001), 381 - 387. 28 Ha Huy Bang, The Riesz theorem for the spaces $N_{\phi}$  and its applications. Dokl. Akad. Nauk 377 (2001), 746 - 748 (in Russian). 29 Ha Huy Bang, Investigation of the properties of functions in the space N_{\phi}-depending on the geometry of their spectrum. (Russian) Dokl. Akad. Nauk 374 (2000), 590 - 593. 30 Ha Huy Bang, Absolutely representing systems of exponents in a class of analytic functions. In: Recent Problems in Mathematical Analysis, Gingo, Rostov-on-Don, 2000, 146 - 155. 31 Ha Huy Bang, Truong Van Thuong, Density of a collection of functions in N_{\phi}-spaces. J. Math. Sci. Univ. Tokyo 7 (2000), 311 - 324. 32 Ha Huy Bang, On an inequality of Bohr and Favard. East J. Approximations. 6 (2000), 385 - 395. 33 Ha Huy Bang, H. M. Le, An inequality of Kolmogorov and Stein, Bull. Austral. Math. Soc. 61 (2000), 153 - 159. 34 Ha Huy Bang, Nonconvex caces of the Paley-Wiener-Schwartz theorem. In: Proceedings of the 5th Conference for Vietnamese Mathematicians, Science and Technics Publishers, Hanoi 1999, 15 - 30. 35 Ha Huy Bang, Hoang Mai Le, On the Kolmogorov-Stein inequality. J. Inequal. Appl. 3 (1999), 153 - 160. 36 Ha Huy Bang, Hoang Mai Le, Note on the Kolmogorov-Stein inequality, Vietnam. J. Math. 26 (1998), 363 - 366. 37 Ha Huy Bang, The Paley-Wiener-Schwartz theorems for nonconvex domains. In: Proceedings of the Conference "Functional Analysis and Global Analysis'', Springer, 1997, 14 - 30. 38 Ha Huy Bang, Spectrum of functions in Orlicz spaces. J. Math. Sci. Univ. Tokyo 4 (1997), 341 - 349. 39 Ha Huy Bang, Separability of Sobolev-Orlicz spaces of infinite order. Mat. Zametki 61 (1997), 141 - 143. English transl.: Math. Notes 61 (1997), 118 - 120. 40 Ha Huy Bang, Properties of functions in Orlicz spaces in the connection with geometry of their spectrum. Russian Izvestija Akad. Nauk, 61 (1997), 133 - 168. English transl.: Izvestiya: Mathematics 61 (1997), 399 - 434. 41 Ha Huy Bang, A study of the properties of functions depending on the geometry of their spectrum. Russian Doklady Akad. Nauk 355 (1997), 740 - 743. English transl.: Doklady Mathematics 56 (1997), 610 - 613. 42 Ha Huy Bang, Embedding theorems for the Sobolev-Orlicz spaces of infinite order. Russian Doklady Akad. Nauk 354 (1997), 316 - 319. English transl.: Doklady Mathematics 55 (1997), 77 - 380. 43 Ha Huy Bang, Nonconvex cases of the Paley-Wiener-Schwartz theorems. Russian Doklady Akad. Nauk 354 (1997), 165 - 168. English transl.: Doklady Mathematics 55 (1997), 353 - 355. 44 Ha Huy Bang, The existence of a point spectral radius of pseudodifferential operators. Russian Doklady Akad. Nauk 348 (1996), N06, 740 - 742. English transl.: Doklady Mathematics 53 (1996), 420 - 422. 45 Ha Huy Bang, A remark on the Kolmogorov-Stein inequality. J. Math. Analysis Appl. 203 (1996), 861 - 867. 46 Ha Huy Bang, Theorems of the Paley-Wiener-Schwartz type. Trudy Mat. Inst. Steklov 214 (1996), 298 - 319. English transl.: Proc. Steklov Inst. Math. 214 (1996), 291 - 311. 47 Ha Huy Bang, A remark on differential operators of infinite order. Acta Math. Vietnam. 21 (1996), 289 - 294. 48 Ha Huy Bang, Change of variables in Sobolev-Orlicz spaces of infinite order. Mat. Zametki 57 (1995), N03, 331 - 337. English transl.: Math. Notes 57 (1995), N03, 235 - 239. 49 Ha Huy Bang, Asymptotic behavior of the sequence of norms of derivatives. J. Math. Sci. Univ. Tokyo 2 (1995), 611 - 620. 50 Ha Huy Bang, An algebra of pseudodifferential operators. Mat. Sbornik 186(1995), N07, 3 - 14, English transl.: Sbornik: Mathematics 186 (1995), 929 - 940. 51 Ha Huy Bang, A property of entire functions of exponential type. Analysis 15 (1995), 17 - 23. 52 Ha Huy Bang, On the Bernstein - Nikolsky inequality II. Tokyo J. Math. 18 (1995), 123 - 131. 53 Ha Huy Bang, Functions with bounded spectrum. Trans. Amer. Math. Soc. 347 (1995), 1067 - 1080. 54 Ha Huy Bang, Inequalities of the Bernstein - Nikolsky type and their applications. Dr. Sc. Thesis, Steklov Inst. Math., Moscow, 1994, 269 p. (in Russian). 55 Ha Huy Bang, A remark on the Bernstein - Nikolsky inequality. Acta Math. Vietnam. 19 (1994), 71 - 78. 56 Ha Huy Bang, M. Morimoto, The sequence of Luxemburg norms of derivatives. Tokyo J. Math. 17 (1994), 141 - 147. 57 Ha Huy Bang, Remarks on a property of infinitely differentiable functions. Bull. Polish Akad. Sci. 40 (1993), 197 - 206. 58 Tran Duc Van, Ha Huy Bang, R., Gorenflo, On Sobolev - Orlicz spaces of infinite order for a full Euclidean space. Analysis 11 (1991), 67 - 81. 59 Ha Huy Bang, Mitsuo MORIMOTO, On the Bernstein - Nikolsky inequality. Tokyo J. Math. 14 (1991), 231 - 238. 60 Ha Huy Bang, Nontriviality of Sobolev spaces of infinite order for a full Euclidean space. Sibirskii Mat. J. 31 (1990), 208 - 213. English transl.: Siberian Math. J. 31 (1990), 176 - 180 (in Russian). 61 Ha Huy Bang, A property of infinitely differentiable functions. Proc. Amer. Math. Soc. 108 (1990), 73 - 76. 62 Tran Duc Van, Ha Huy Bang, On the solvability of nonlinear differential equations of infinite order in unbounded domains. Dokl. Akad. Nauk USSR 305 (1989), 48 - 51. English transl.: Soviet Math. Dokl. 39 (1989), 268 - 271. 63 Ha Huy Bang, Imbedding theorems for Sobolev spaces of infinite order. Acta Math. Vietnam. 14 (1989),17 - 29. 64 Ha Huy Bang, On imbedding theorems for Sobolev spaces of infinite order. Mat. sbornik 178 (1988), 115 - 127. English transl.: Math. USSR Sbornik 64 (1989), 115 - 127. 65 Ha Huy Bang, Certain imbedding theorems for the spaces of infinite order of periodic functions. Mat. Zametki 43 (4)(1988), 509 - 517. English transl.: Math. Notes 43 (1988), 293 - 298. 66 Ha Huy Bang, Some problems of the theory of functional spaces of infinite order. Ph. D. Thesis, Hanoi Inst. Math., 1987, 115 p. (in Vietnamese). 67 Ha Huy Bang, Ju. F. Korobeinik, On a generalization of the Polya theorem. Mat. Anal. i Prilozen, 19, Izdat. Rostov-on-Don, 1987, 37 - 46 (in Russian). 68 Ha Huy Bang, On the applicability for differential operators of infinite order, Acta Math. Vietnam. 12 (1987), 67 - 73 (in Russian). 69 Ha Huy Bang, Absolutely convergent sums of polynomials of exponents. Acta Math. Vietnam. 11 (1986),  253 - 267 (in Russian). 70 Ha Huy Bang, On nontriviality of Sobolev-Orlicz classes and spaces of infinite order on the line. Mat. Zametki 39 (1986), 453 - 459 (in Russian). 71 Ha Huy Bang, On nontriviality of the weighted Sobolev-Orlicz classes and spaces of infinite order on the line. In: Proceedings of 3th VMC, Hanoi, 2 (1985), 315 - 319 (in Vietnamese). 72 Ha Huy Bang, Ju. F. Korobeinik, The applicability of composite differential operators of infinite order to certain classes of exponential functions. Izvestija Vuzov, Ser. Mat. 7 (1982), 83 - 85 (in Russian). 73 Ha Huy Bang, Applicability of infinite-order composite differential operators with constant coefficients. Izvestija Severo - Kavkaz Nauchn Tsentra Vysshei Shkoly, Ser. Mat. 2 (1982), 20 - 23 (in Russian).
Preprints
 1 IMH20191105, Ha Huy Bang, Vu Nhat Huy, Bohr inequality and Paley-Wiener type theorem value in Banach spaces 2 IMH20181104, Ha Huy Bang, Vu Nhat Huy, A Bohr-Nikol’skii inequality for weighted Lebesgue spaces.

### Highlights

 26/02/20, Conference:SEAMS school “Arithmetic, Geometry and Model Theory” 04/03/20, Conference: MIS-IMH research school on Mathematics of Data (CANCELLED) 09/03/20, Conference:School and Conference on Computational Commutative Algebra (COCOA 2020) 23/04/20, Conference:Hội thảo TỐI ƯU VÀ TÍNH TOÁN KHOA HỌC lần thứ 18 24/07/20, Conference:AMC-2020 Satellite Workshop Deterministic and Stochastic Aspects of Differential Equations 25/07/20, Conference:AMC-2020 Satellite Workshop Arithmetic of automorphic forms and their function field analogues 25/07/20, Conference:AMC-2020 Satellite Workshop Minimal Free Resolution and Related Topics 25/07/20, Conference:AMC-2020 Satellite Workshop on Nonlinear Analysis and Optimization Theory 19/08/20, Conference:Hội nghị toàn quốc lần thứ VI “Xác suất - Thống kê: nghiên cứu, ứng dụng và giảng dạy”