WEIGHTED HARDY SPACES AND ULTRADISTRIBUTIONS

被引：0

作者：

Hoepfner, G. ^{[1
]}

Raich, A. ^{[2
]}

Rampazo, P. ^{[3
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

[2] Univ Arkansas, Dept Math Sci, SCEN 327 1, Fayetteville, AR 72701 USA

[3] Univ Fed Fluminense, Dept Ciencias Exatas Biol & Terra, BR-24220900 Niteroi, RJ, Brazil

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2023年 / 49卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Wave front set; FBI transform; Fourier transform; ultradistributions; Hardy spaces; Q-GEVREY FUNCTIONS; REGULARITY; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The goal of this work is to identify certain classes of global ultradistributions as boundary values of generalized Hardy spaces defined on cones. The ultradistributions arise as elements of dual spaces of classes of globally L-q-integrable ultradifferentiable functions defined in terms of weight functions. We also demonstrate that global L-q-Gevrey functions are an example.

引用

页码：195 / 229

页数：35

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