非齐型空间上Triebel-Lizorkin空间的T1定理

韩彦昌;许明;

数学学报 ›› 2006, Vol. 49 ›› Issue (4) : 779-790.

中国科学院数学与系统科学研究院期刊网
数学学报 ›› 2006, Vol. 49 ›› Issue (4) : 779-790. DOI: 10.12386/A2006sxxb0096
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非齐型空间上Triebel-Lizorkin空间的T1定理

    韩彦昌;许明;
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T1 Theorem for Weighted Triebel-Lizorkin Spaces on Nonhomogeneous Spaces

    Yan Chang HANMing XU
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摘要

本文在非齐型空间上证明具有Dini核条件的T1定理,获得了加权Fefferman- Stein向量值极大不等式．进一步地,在非齐型空间上得到了加权Tiebel-Lizorkin空间的T1定理．

Abstract

In this paper, the authors prove Tl theorem on nonhomogeneous spaces with Dini kernel conditions, obtain weighted version of Fefferman-Stein vector valued maximal inequality and establish Tl theorem for weighted Triebel-Lizorkin spaces on nonhomogeneous spaces.

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T1定理 / 非齐型空间 / Triebel-Lizorkin空间

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韩彦昌;许明;. 非齐型空间上Triebel-Lizorkin空间的T1定理. 数学学报, 2006, 49(4): 779-790 https://doi.org/10.12386/A2006sxxb0096
Yan Chang HANMing XU. T1 Theorem for Weighted Triebel-Lizorkin Spaces on Nonhomogeneous Spaces. Acta Mathematica Sinica, Chinese Series, 2006, 49(4): 779-790 https://doi.org/10.12386/A2006sxxb0096

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