V. Ivanov

activity

20172025

most citedRiesz potential and maximal function for Dunkl transform

8 citations · 17 across the 6 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.CA2017★ 8 cited

Riesz potential and maximal function for Dunkl transform

D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov

We study weighted $(L^{p}, L^{q})$ -boundedness properties of Riesz potentials and fractional maximal functions for the Dunkl transform. In particular, we obtain the weighted Hardy-Litt…

math.CA2017★ 4 cited

Positive $L^{p}$ -bounded Dunkl-type generalized translation operator and its applications

D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov

We prove that the spherical mean value of the Dunkl-type generalized translation operator $τ^{y}$ is a positive $L^{p}$ -bounded generalized translation operator $T^{t}$ . As application,…

Riesz potential and maximal function for Dunkl transform

Positive Lp-bounded Dunkl-type generalized translation operator and its applications

Positive $L^{p}$ -bounded Dunkl-type generalized translation operator and its applications