THE EQUIVALENT CHARACTERIZATION OF F(p, q, s) SPACE ON BOUNDED SYMMETRIC DOMAINS OF Cn

Shenlian LI; Xuejun ZHANG; Si XU

doi:10.1016/S0252-9602(17)30107-8

Acta mathematica scientia, Series B >

2017 , Vol. 37 >Issue 6: 1791 - 1802

DOI: https://doi.org/10.1016/S0252-9602(17)30107-8

Articles

THE EQUIVALENT CHARACTERIZATION OF F(p, q, s) SPACE ON BOUNDED SYMMETRIC DOMAINS OF Cⁿ

Shenlian LI ,
Xuejun ZHANG ,
Si XU

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College of Mathematics and Computer Science, Hunan Normal University, Changsha 410006, China

Received date: 2016-07-13

Revised date: 2017-02-06

Online published: 2017-12-25

Supported by

The research is supported by the National Natural Science Foundation of China (11571104) and the Hunan Provincial Innovation Foundation for Postgraduate (CX2017B220). Key Laboratory of High Performance Computing and Stochastic Information Processing, College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan 410081, P.R. China. Supported by the Construct Program of the Key Discipline in Hunan Province.

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Abstract

Let Ω be a bounded symmetric domain in Cⁿ. The purpose of this article is to define and characterize the general function space F(p,q,s) on Ω. Characterizing functions in the F(p,q,s) space is a work of considerable interest nowadays. In this article, the authors give several equivalent descriptions of the functions in the F(p,q,s) space on Ω in terms of fractional differential operators. At the same time, the authors give the relationship between F(p,q,s) space and Bloch type space on Ω too.

Key words： F(p,q,s) space; equivalent description; bounded symmetric domain

Cite this article

Shenlian LI , Xuejun ZHANG , Si XU . THE EQUIVALENT CHARACTERIZATION OF F(p, q, s) SPACE ON BOUNDED SYMMETRIC DOMAINS OF Cⁿ[J]. Acta mathematica scientia, Series B, 2017 , 37(6) : 1791 -1802 . DOI: 10.1016/S0252-9602(17)30107-8

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