[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2015.28.3.473

NOTES ON BERGMAN PROJECTION TYPE OPERATOR RELATED WITH BESOV SPACE

CHOI, KI SEONG (Department of Information Security Konyang University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.28, no.3, 2015 , pp. 473-482 More about this Journal

Abstract

Let Qf be the maximal derivative of f with respect to the Bergman metric $b_B$ . In this paper, we will find conditions such that $(1-{\parallel}z{\parallel})^s(Qf)^p(z)$ is bounded on B. We will also find conditions such that Bergman projection type operator $P_r$ is bounded operator from $L^p(B,d{\mu}_r)$ to the holomorphic Besov p-space Bs $B^s_p(B)$ with weight s.

Keywords

Besov p-space; Bergman projection;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

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