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Embedding Theorem for Inhomogeneous Besov and Triebel–Lizorkin Spaces on RD-spaces

Published online by Cambridge University Press:  20 November 2018

Yanchang Han
Yanchang Han*
Affiliation:
School of Mathematic Sciences, South China Normal University, Guangzhou, 510631, P.R. China e-mail: hanych@scnu.edu.cn
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Abstract

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In this article we prove an embedding theorem for inhomogeneous Besov and Triebel–Lizorkin spaces on $\text{RD}$-spaces. The crucial idea is to use the geometric density condition on the measure.

Keywords

42B2546F0546E35spaces of homogeneous typetest function spacedistributionsCalderón reproducing formulaBesov and Triebel-Lizorkin spacesembedding
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 4 , 01 December 2015 , pp. 757 - 773
Copyright
Copyright © Canadian Mathematical Society 2015

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