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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.
목차
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참고문헌 (13)
참고문헌 신청
J. Arazy / 1988 / Hankel operators on weighted Bergman spaces / Amer. J. Math 110:989~1054
최기성 / 2006 / Notes on the Bergman projection type operator in $\Bbb C^n$ / 대한수학회논문집 21(1):65~74
K. T. Hahn / 1993 / Bloch-Besov spaces and the boundary behavior of their functions / Lecture Notes series (Seoul Nat. Univ.) 21(1)
K. T. Hahn / 1991 / M-harmonic Besov p-spaces and Hankel opera-tors in the Bergman space on the unit ball in Cn / Jour. Manuscripta Math 71(71):67~81
K. T. Hahn / 1998 / Weighted Bloch spaces in Cn / J. Korean Math. Soc 35:177~189
최기성 / 2006 / Notes on the Bergman projection type operator in $\Bbb C^n$ / 대한수학회논문집 21(1):65~74
K. T. Hahn / 1993 / Bloch-Besov spaces and the boundary behavior of their functions / Lecture Notes series (Seoul Nat. Univ.) 21(1)
K. T. Hahn / 1991 / M-harmonic Besov p-spaces and Hankel opera-tors in the Bergman space on the unit ball in Cn / Jour. Manuscripta Math 71(71):67~81
K. T. Hahn / 1998 / Weighted Bloch spaces in Cn / J. Korean Math. Soc 35:177~189
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