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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 55 - 63 (9page)
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Let $\mathbb B$ be the unit ball in $\mathbb C^n$.
For a weight function $\om$, we define the generalized growth space $A^\omega(\mathbb B)$by the space of holomorphic functions $f$ on $\mathbb B$ such that$$|f(z)|\leq C\omega(|\rho(z)|,\quad z\in \mathbb B.
$$Our main purpose in this note is to get the corona type decompositionin generalized growth spaces on $\mathbb B$.
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참고문헌 (18)
참고문헌 신청
B. Berndtsson / 1982 / Henkin-Ramirez formulas with weight factors / Ann. Inst. Fourier 32 : 91 ~ 110
D. Girela / 2000 / On the zeros of Bloch functions / Math. Proc. Camb. Phil. Soc 129 : 117 ~ 128
E. Amar / 1991 / On the corona problem / J. Geom. Anal 1 (4) : 291 ~ 305
H. R. Cho / 2004 / Embedding of Hardy spaces into weighted Bergman spaces in bounded domains with C2 boundary / Illinois J. Math 48 (3) : 747 ~ 757
J. Byun / 2010 / Weighted Lipschitz estimates for @ on convex domains of nite type / J. Math. Anal. Appl 368 : 190210 ~
D. Girela / 2000 / On the zeros of Bloch functions / Math. Proc. Camb. Phil. Soc 129 : 117 ~ 128
E. Amar / 1991 / On the corona problem / J. Geom. Anal 1 (4) : 291 ~ 305
H. R. Cho / 2004 / Embedding of Hardy spaces into weighted Bergman spaces in bounded domains with C2 boundary / Illinois J. Math 48 (3) : 747 ~ 757
J. Byun / 2010 / Weighted Lipschitz estimates for @ on convex domains of nite type / J. Math. Anal. Appl 368 : 190210 ~
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