Potential operators and multipliers on locally compact Vilenkin groups

被引：3

作者：

Kitada, T ^{[1
]}

机构：

[1] HIROSAKI UNIV,FAC GEN EDUC,DEPT MATH,HIROSAKI,AOMORI 036,JAPAN

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1996年 / 54卷 / 03期

关键词：

D O I：

10.1017/S0004972700021870

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study, under the setting of a locally compact Vilenkin group G, a weighted norm inequality for the potential operators of Riesz type and its applications to multipliers on G. We also consider the maximal operators of fractional type.

引用

页码：459 / 471

页数：13

共 50 条

[41] Bilinear multipliers on Orlicz spaces on locally compact groups
Osancliol, Alen
Oztop, Serap
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2023, 14 (04)
[42] Module homomorphisms and multipliers on locally compact quantum groups
Ramezanpour, M.
Vishki, H. R. E.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 359 (02) : 581 - 587
[43] MULTIPLIERS ON SUBSEMIGROUPS OF LOCALLY COMPACT ABELIAN-GROUPS
KLEPPNER, A
SEMIGROUP FORUM, 1993, 47 (01) : 81 - 86
[44] Bilinear multipliers on Orlicz spaces on locally compact groups
Alen Osançlıol
Serap Öztop
Journal of Pseudo-Differential Operators and Applications, 2023, 14
[45] Lp-Lq multipliers on locally compact groups
Akylzhanov, Rauan
Ruzhansky, Michael
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (03)
[46] A Decomposition Theorem on Herz Spaces over Locally Compact Vilenkin Groups
LAN Sen-hua
College of Mathematics and Information Science
数学季刊, 2005, (02) : 141 - 146
[47] An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups
Platonov S.S.
p-Adic Numbers, Ultrametric Analysis and Applications, 2017, 9 (4) : 306 - 313
[48] WEIGHTED TRIEBEL-LIZORKIN SPACES ON LOCALLY COMPACT VILENKIN GROUPS
KITADA, T
ONNEWEER, CW
MATHEMATISCHE NACHRICHTEN, 1994, 168 : 191 - 208
[49] COMPACT LEFT MULTIPLIERS ON BANACH ALGEBRAS RELATED TO LOCALLY COMPACT GROUPS
Mehdipour, M. J.
Nasr-Isfahani, R.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2009, 79 (02) : 227 - 238
[50] Fourier Transform of Dini-Lipschitz Functions on Locally Compact Vilenkin Groups
Platonov, Sergey S.
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2020, 12 (03) : 231 - 246

← 1 2 3 4 5 →