HARDY SPACES FOR FOURIER-BESSEL EXPANSIONS

被引：4

作者：

Dziubanski, Jacek ^{[1
]}

Preisner, Marcin ^{[1
]}

Roncal, Luz ^{[2
]}

Stinga, Pablo Raul ^{[3
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

[2] Univ La Rioja, Dept Matemat & Compuatc, Logrono 26004, Spain

[3] Iowa State Univ, Dept Math, 396 Carver Hall, Ames, IA 50011 USA

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2016年 / 128卷

关键词：

HOMOGENEOUS TYPE; SHARP HEAT; HP-SPACES; SERIES; TRANSPLANTATION; VARIABLES; OPERATORS; THEOREMS; ATOMS; ORDER;

D O I：

10.1007/s11854-016-0009-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Hardy spaces for Fourier-Bessel expansions associated with Bessel operators on ((0, 1), x(2 nu+1)dx) and ((0, 1), dx). We define Hardy spaces H-1 as the sets of L-1-functions whose maximal functions for the corresponding Poisson semigroups belong to L-1. Atomic characterizations are obtained.

引用

页码：261 / 287

页数：27

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