Variable Triebel-Lizorkin-Lorentz Spaces Associated to Operators

被引：1

作者：

Saibi, Khedoudj ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2022年 / 16卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Variable exponents; Lorentz spaces; Metric measure; Heat kernel; Maximal characterization; Atomic characterizations; BESOV; HARDY; DISTRIBUTIONS; DECOMPOSITION; INTEGRABILITY; SMOOTHNESS; DUALITY;

D O I：

10.1007/s11785-022-01289-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (X, d, mu) be a space of homogenous type and L be a nonnegative self-adjoint operator on L-2 (X) with heat kernels satisfying Gaussian upper bounds. In this paper, we introduce the variable Triebel-Lizorkin-Lorentz space associated to the operator L on spaces of homogenous type and prove that this space can be characterized via the Peetre maximal functions. Then we establish an atomic decomposition for this space.

引用

页数：18

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