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

Abdelkefi, Chokri; Sifi, Mohamed

Fractional Calculus and Applied Analysis (2006)

- Volume: 9, Issue: 1, page 43-56
- ISSN: 1311-0454

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topAbdelkefi, 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 -

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