Continuous wavelet transform on Triebel-Lizorkin spaces

被引：0

作者：

Baison-Olmo, Antonio Luis ^{[1
]}

Cruz-Barriguete, Victor Alberto ^{[1
]}

Navarro, Jaime ^{[1
]}

机构：

[1] Metropolitan Autonomous Metropolitan Univ, Dept Basic Sci, Mexico City, DF, Mexico

来源：

TURKISH JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 08期

关键词：

Admissible function; continuous wavelet transform; Triebel-Lizorkin spaces; weak solution; regularity; differential operators;

D O I：

10.55730/1300-0098.3325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The continuous wavelet transform in higher dimensions is used to prove the regularity of weak solutions u is an element of Lp(Rn) under Qu = f where f belongs to the Triebel-Lizorkin space Fp r,q(Rn) where 1 < p, q < infinity, 0 < r < 1, and where Q = n-ary sumation |beta|<= m c beta partial differential beta is a linear partial differential operator of order m > 0 with positive constant coefficients c beta.

引用

页码：3159 / 3170

页数：13

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