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A note of Littlewood-Paley functions on Triebel-Lizorkin spaces

Feng Liu
대한수학회 (The Korean Mathematical Society)|2018.03|대한수학회보 (Bulletin of the KMS)|제55권 제2호|pp. 659-672

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참고문헌

키워드

extrapolationBesov spacesTriebel-Lizorkin spacesLittlewood-Paley function
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초록

In this note we prove that several classes of Littlewood-Paley square operators defined by the kernels without any regularity are bounded on Triebel-Lizorkin spaces $F_\alpha^{p,q}(\mathbb{R}^n)$ and Besov spaces $B_\alpha^{p,q}(\mathbb{R}^n)$ for $0<\alpha<1$ and $1<p,q<\infty$.

Abstract

In this note we prove that several classes of Littlewood-Paley square operators defined by the kernels without any regularity are bounded on Triebel-Lizorkin spaces $F_\alpha^{p,q}(\mathbb{R}^n)$ and Besov spaces $B_\alpha^{p,q}(\mathbb{R}^n)$ for $0<\alpha<1$ and $1<p,q<\infty$.

참고문헌 (20)

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