Weinstein-Sobolev Spaces of Exponential Type and Applications

被引：19

作者：

Ben Mohamed, Hassen ^{[1
]}

Ghribi, Belgacem ^{[1
]}

机构：

[1] Fac Sci Gabes, Dept Math, Zirig 6072, Gabes, Tunisia

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 03期

关键词：

Weinstein operator; Weinstein transform; distribution; Sobolev spaces; TRANSFORM;

D O I：

10.1007/s10114-012-0042-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study the Sobolev spaces of exponential type associated with the Weinstein operator, via some elements of harmonic analysis related to this operator. In particular, some properties, including completeness and imbedding theorem, are proved. Finally, using the theory of reproducing kernels, some applications are given for these spaces.

引用

页码：591 / 608

页数：18

共 18 条

[1]

Aliev I., 1993, THESIS BAKU

[2] Parabolic potentials and wavelet transforms with the generalized translation [J].

Aliev, IA ;

Rubin, B .

STUDIA MATHEMATICA, 2001, 145 (01) :1-16

[3] SPHERICAL HARMONICS ASSOCIATED TO THE LAPLACE-BESSEL OPERATOR AND GENERALIZED SPHERICAL CONVOLUTIONS [J].

Aliev, Ilham A. ;

Rubin, Boris .

ANALYSIS AND APPLICATIONS, 2003, 1 (01) :81-109

[4] Dunkl transform on R and convolution product on new spaces of distributions [J].

Ben Mohamed, H ;

Trimèche, K .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2003, 14 (05) :437-458

[5]

Ben Mohamed H., 2011, INT J MATH ANAL RUSE, V5, P25

[6]

Ben Nahia Z, 1995, THESIS FS TUNIS TUNI

[7]

Ben Nahia Z., 1994, P C INT THEOR POT IC

[8] A CHARACTERIZATION FOR FOURIER HYPERFUNCTIONS [J].

CHUNG, J ;

CHUNG, SY ;

KIM, D .

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1994, 30 (02) :203-208

[9]

Hormander, 1990, ANAL LINEAR PARTIAL

[10]

Kipriyanov I. A., 1997, SINGULAR ELLIPTIC BO

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