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
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
收藏
页码:1 / 12
页数:12
相关论文
共 50 条
  • [22] REDUCTION FORMULAS FOR KAMPE-DE-FERIET FUNCTIONS ASSOCIATED WITH CERTAIN CLASSES OF INCOMPLETE LIPSCHITZ-HANKEL TYPE INTEGRALS OF CYLINDRICAL-FUNCTIONS
    MILLER, AR
    SRIVASTAVA, HM
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1992, 329 (01): : 155 - 170
  • [23] Generalized Hankel Transform and Fractional Integrals on the Spaces of Generalized Functions
    Gehlot, Kuldeep Singh
    Vyas, Dinesh N.
    [J]. NEW TRENDS IN NANOTECHNOLOGY AND FRACTIONAL CALCULUS APPLICATIONS, 2010, : 203 - +
  • [24] FRACTIONAL INTEGRALS AND HANKEL TRANSFORMS
    SONI, K
    [J]. DUKE MATHEMATICAL JOURNAL, 1968, 35 (02) : 313 - &
  • [25] Hankel hyperdeterminants and Selberg integrals
    Luque, JG
    Thibon, JY
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (19): : 5267 - 5292
  • [26] On Hankel convolutors on certain Hankel transformable function spaces
    Betancor, JJ
    Rodriguez-Mesa, L
    [J]. GLASGOW MATHEMATICAL JOURNAL, 1997, 39 : 351 - 369
  • [27] Positivity of oscillatory integrals and Hankel transforms
    Cho, Yong-Kum
    Chung, Seok-Young
    Park, Young Woong
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024, 35 (01) : 61 - 76
  • [28] Hankel Measures for Hardy Spaces
    Bao, Guanlong
    Ye, Fangqin
    Zhu, Kehe
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (05) : 5131 - 5145
  • [29] HANKEL SPACES OF ENTIRE FUNCTIONS
    DEBRANGES, L
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 41 (02) : 352 - 372
  • [30] On Besov spaces in the Hankel setting
    J. J. Betancor
    L. Rodríguez-Mesa
    [J]. Acta Mathematica Hungarica, 2006, 111 : 237 - 262