On Gauss-Weierstrass Semigroups and Inversion of Potentials Associated with the Bessel Differential Operator

被引：0

作者：

Mehmet ZekiSARIKAYA ^{[1
]}

HüseyinYILDIRIM ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Science and Arts,Afyon Kocatepe University

来源：

Acta Mathematica Sinica(English Series) | 2009年 / 25卷 / 10期

关键词：

Bessel differential operator; Bessel potential; Riesz potential; Schwartz space; convolution; semigroup; Gauss-Weierstrass kernel;

D O I：

暂无

中图分类号：

O175.3 [微分算子理论];

学科分类号：

070104 ;

摘要：

In this paper, we define the generalized Gauss-Weierstrass semigroups with Weierstrasskernel, and give some of their properties. Using them, we study the inversion formulas for the generalizedRiesz and Bessel potentials, generated by the generalized shift operators and associated with theLaplace Bessel differential operator.

引用

页码：1741 / 1758

页数：18

共 5 条

[1] On Gauss-Weierstrass semigroups and inversion of potentials associated with the Bessel differential operator
Mehmet Zeki Sarikaya
Hüseyin Yildirim
Acta Mathematica Sinica, English Series, 2009, 25 : 1741 - 1758
[2] On Gauss-Weierstrass semigroups and inversion of potentials associated with the Bessel differential operator
Sarikaya, Mehmet Zeki
Yildirim, Hueseyin
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (10) : 1741 - 1758
[3] On maximal function and fractional integral, associated with the Bessel differential operator
Guliev, VS
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (02): : 317 - 330
[4] ON WEAK TYPE BOUNDS FOR A FRACTIONAL INTEGRAL ASSOCIATED WITH THE BESSEL DIFFERENTIAL OPERATOR
Sarikaya, Mehmet Zeki
Yildirim, Hueseyin
TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (09): : 2535 - 2548
[5] On the rearrangement estimates and the boundedness of the generalized fractional integrals associated with the Laplace-Bessel differential operator
V. S. Guliyev
Z. V. Safarov
A. Serbetci
Acta Mathematica Hungarica, 2008, 119 : 201 - 217

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