On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces

Abdelkefi, Chokri, and Sifi, Mohamed. "On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces." Fractional Calculus and Applied Analysis 9.1 (2006): 43-56. <http://eudml.org/doc/11256>.

@article{Abdelkefi2006,
abstract = {2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space.* Supported by 04/UR/15-02.},
author = {Abdelkefi, Chokri, Sifi, Mohamed},
journal = {Fractional Calculus and Applied Analysis},
keywords = {44A15; 44A35; 46E30},
language = {eng},
number = {1},
pages = {43-56},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces},
url = {http://eudml.org/doc/11256},
volume = {9},
year = {2006},
}

TY - JOUR
AU - Abdelkefi, Chokri
AU - Sifi, Mohamed
TI - On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces
JO - Fractional Calculus and Applied Analysis
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 9
IS - 1
SP - 43
EP - 56
AB - 2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space.* Supported by 04/UR/15-02.
LA - eng
KW - 44A15; 44A35; 46E30
UR - http://eudml.org/doc/11256
ER -