Non-smooth atomic decomposition of Triebel–Lizorkin-type spaces

Banach Journal of Mathematical Analysis（2024）

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摘要

In this article, the authors establish a non-smooth atomic decomposition of Triebel–Lizorkin-type spaces and, as a by-product, a non-smooth atomic decomposition of subspaces of BMO spaces is obtained. An application of this decomposition method to the boundedness of Marcinkiewicz integral operators is also presented.

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关键词

Triebel–Lizorkin-type space,BMO,Atomic decomposition,Local oscillation decomposition

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