Frontiers of Mathematics in China >

2016 , Vol. 11 >Issue 1: 141 - 153

DOI: https://doi.org/10.1007/s11464-015-0464-0

RESEARCH ARTICLE

Boundedness of θ-type Calderón-Zygmund operators on non-homogeneous metric measure space

  • Chol RI 1 ,
  • Zhenqiu ZHANG , 2
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  • 1. Department of Mathematics, Kim Hyong Jik Normal University, PyongYang, DPR Korea
  • 2. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China

Received date: 26 Dec 2014

Accepted date: 04 Mar 2015

Published date: 02 Dec 2015

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

Let (X, d, μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hytönen. Under this assumption, we prove thatθ-type Calderón-Zygmund operators which are bounded on L2(μ) are also bounded from L∞(μ) into RBMO(μ) and from H1,∞at (μ) into L1(μ).

Key words： Non-homogeneous spaces; θ-type Calderón-Zygmund operators; RBMO(μ) space; H1; ,∞at (μ) space

Cite this article

Chol RI , Zhenqiu ZHANG . Boundedness of θ-type Calderón-Zygmund operators on non-homogeneous metric measure space[J]. Frontiers of Mathematics in China, 2016 , 11(1) : 141 -153 . DOI: 10.1007/s11464-015-0464-0

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