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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front Math Chin    2013, Vol. 8 Issue (6) : 1265-1274    https://doi.org/10.1007/s11464-013-0324-8
RESEARCH ARTICLE
Harmonic functions with boundary values on Herz spaces
Martha GUZMáN-PARTIDA()
Departamento de Matemáticas, Universidad de Sonora, Rosales y Luis Encinas, Hermosillo, Sonora, 83000, México
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Abstract

We discuss continuity of the Poisson transform on Herz spaces Bp as well as its action on weighted versions of these sets. We also consider Banachvalued versions of Herz spaces and study some of their properties.

Keywords Herz space      Poisson transform     
Corresponding Author(s): GUZMáN-PARTIDA Martha,Email:martha@gauss.mat.uson.mx   
Issue Date: 01 December 2013
 Cite this article:   
Martha GUZMáN-PARTIDA. Harmonic functions with boundary values on Herz spaces[J]. Front Math Chin, 2013, 8(6): 1265-1274.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-013-0324-8
https://academic.hep.com.cn/fmc/EN/Y2013/V8/I6/1265
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[1] Chune SHI, Jingshi XU. Herz type Besov and Triebel-Lizorkin spaces with variable exponent[J]. Front Math Chin, 2013, 8(4): 907-921.
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