Tula State University

output

20162019

most citedRiesz potential and maximal function for Dunkl transform

8 citations

researchers with a paper here

D. Gorbachev4 · h 12
S. Tikhonov2 profiles4 · h 30
F. Dai3 · h 24
Sergey Tikhonov1
V. Ivanov1 · h 7
Д. В. Горбачев1

collaborating institutions

Universitat Autònoma de BarcelonaES4 papers
Institució Catalana de Recerca i Estudis AvançatsES3 papers
University of AlbertaCA3 papers
Centre de Recerca MatemàticaES2 papers
N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of SciencesRU1 paper
Ural Branch of the Russian Academy of SciencesRU1 paper

Showing 2019Show all

2 papers · 1 filter

math.CA2019★ 5 cited

Estimates of the asymptotic Nikolskii constants for spherical polynomials

Feng Dai, Dmitry Gorbachev, Sergey Tikhonov

Let $Π_{n}^{d}$ denote the space of spherical polynomials of degree at most $n$ on the unit sphere $S^{d} \subset R^{d + 1}$ that is equipped with the surface Lebesgue mea…

math.CA2019

Nikolskii inequality for lacunary spherical polynomials

Feng Dai, Dmitry Gorbachev, Sergey Tikhonov

We prove that for $d \geq 2$ , the asymptotic order of the usual Nikolskii inequality on $S^{d}$ (also known as the reverse Hölder's inequality) can be significantly improved i…