Lipschitz-Hankel spaces and partial Hankel integrals

被引：11

作者：

Betancor, JJ ^{[1
]}

Rodriguez-Messa, L ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, Tenerife 38271, Islas Canarias, Spain

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 1998年 / 7卷 / 1-2期

关键词：

Hankel transform; Bochner-Riesz means; L-P-spaces;

D O I：

10.1080/10652469808819181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove that the partial Hankel integral s(T)(phi) of phi converges to phi, as T --> infinity, when phi is in a Lipschitz-Hankel space. We also give sufficient conditions on a function phi in order that the Hankel transform h(mu)(phi) of phi is in a L-P-space.

引用

页码：1 / 12

页数：12

共 13 条

[1]

AGUILERA NE, 1983, PAC J MATH, V104, P1

[2]

BETANCOR JJ, LIPSCHITZ HANKEL SPA

[3] EQUICONVERGENCE THEOREMS FOR FOURIER-BESSEL EXPANSIONS WITH APPLICATIONS TO THE HARMONIC-ANALYSIS OF RADIAL FUNCTIONS IN EUCLIDEAN AND NON-EUCLIDEAN SPACES [J].

COLZANI, L ;

CRESPI, A ;

TRAVAGLINI, G ;

VIGNATI, M .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 338 (01) :43-55

[4]

Erdelyi A, 1953, TABLES INTEGRAL TRAN, V2

[5]

GIANG DV, 1994, ACTA SCI MATH SZEGED, V59, P257

[6] INTEGRAL EQUATIONS ASSOCIATED WITH HANKEL CONVOLUTIONS [J].

HAIMO, DT .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 116 (04) :330-&

[7] ON THE MEAN INVERSION OF FOURIER AND HANKEL TRANSFORMS [J].

HERZ, CS .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1954, 40 (10) :996-999

[8]

Hirschman Jr I.I., 1960, J ANAL MATH, V8, P307, DOI [DOI 10.1007/BF02786854, DOI 10.1007/BF02786855]

[9] CONVERGENCE AND DIVERGENCE ALMOST EVERYWHERE OF SPHERICAL MEANS FOR RADIAL FUNCTIONS [J].

KANJIN, Y .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 103 (04) :1063-1069

[10] ALMOST EVERYWHERE CONVERGENCE OF THE SPHERICAL PARTIAL-SUMS FOR RADIAL FUNCTIONS [J].

PRESTINI, E .

MONATSHEFTE FUR MATHEMATIK, 1988, 105 (03) :207-216

← 1 2 →