논문KCI 등재
Division problem in generalized growth spaces on the unit ball in Cn
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
Let B be the unit ball in Cn. For a weight function ω, we define the generalized growth space Aω(B) by the space of holomorphic functions f on B such that |f(z)|≤Cω(|ρ(z)|, z ∈ B. Our main purpose in this note is to get the corona type decompositionin generalized growth spaces on B.
Abstract
Let B be the unit ball in Cn. For a weight function ω, we define the generalized growth space Aω(B) by the space of holomorphic functions f on B such that |f(z)|≤Cω(|ρ(z)|, z ∈ B. Our main purpose in this note is to get the corona type decompositionin generalized growth spaces on B.
참고문헌 (18)
- E. Amar, "On the corona problem", J. Geom. Anal, 1(4), pp.291~305 (1991)
- M. Andersson, "The Hp corona problem in weakly pseudoconvex domains", Trans. Amer. Math. Soc, 342, pp.241~255 (1994)
- M. Andersson, "Wol-type estimates for @b and the Hp-corona problem in strictly pseudoconvex domains", Ark. Mat, 32, pp.255~276 (1994)
- M. Andersson, "Hp-estimates of holomorphic division formulas", Pacic J. Math, 173, pp.307~335 (1996)
- M. Andersson, "Estimates of solutions of the Hp and BMOA corona problem", Math. Ann, 316, pp.83~102 (2000)
- B. Berndtsson, "Henkin-Ramirez formulas with weight factors", Ann. Inst. Fourier, 32, pp.91~110 (1982)
- J. Byun, "Weighted Lipschitz estimates for @ on convex domains of nite type", J. Math. Anal. Appl, 368, pp.190210~ (2010)
- L. Carleson, "Interpolation of bounded analytic functions and the corona problem", Ann. of Math, 76, pp.547~559 (1961)
- H. R. Cho, "Embedding of Hardy spaces into weighted Bergman spaces in bounded domains with C2 boundary", Illinois J. Math, 48(3), pp.747~757 (2004)
- D. Girela, "On the zeros of Bloch functions", Math. Proc. Camb. Phil. Soc, 129, pp.117~128 (2000)
- P. Koosis, "Introduction to Hp-spaces. With an appendex on Wol's proof of the corona theorem", Lond. Math. Soc. Lecture Note Series, 40 (1980)
- S. G. Krantz, "Some remarks on the corona problem on strongly pseu-doconvex domains in Cn", Illinois J. Math, 39(1), pp.323~349 (1995)
- K. Lin, "The @u = f corona theorem for the polydisc", Trans. Amer. Math. Soc, 341, pp.371~375 (1994)
- J. M. Ortega, "Corona type decomposition in some Besov spaces", Math. Scand, 78, pp.93~111 (1996)
- J. M. Ortega, "Pointwise multipliers and corona type decomposition in BMOA", Ann. Inst. Fourier, 46, pp.111~137 (1996)
- J. M. Ortega, "Pointwise multipliers and decomposition theorems in analytic Besov spaces", Math. Z, 235, pp.53~81 (2000)
- J. M. Ortega, "Pointwise multipliers and decomposition theorems in F1;q s", Math. Ann, 329, pp.247~277 (2004)
- N. Varopoulos, "BMO functions and the φ-equation", Pacic J. Math, 71, pp.221~273 (1977)
관련 논문AI추천
SOME NEW CHARACTERIZATIONS OF WEIGHTED BERGMAN SPACESSongxiao Li대한수학회 · 대한수학회보2010 · 제47권 제6호Holomorphic mean Lipschitz functions on the unit ball of Cn구형운, 권언근, 조홍래대한수학회 · 대한수학회지2013 · 제50권 제1호Characterizations for the Fock-type spaces남계숙, 조홍래, 하정민대한수학회 · 대한수학회보2019 · 제56권 제3호CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALLSongxiao Li대한수학회 · 대한수학회보2012 · 제49권 제1호Norm of the composition operator from Bloch space to Bergman spaceKazuhiro Kasuga대한수학회 · 대한수학회논문집2014 · 제29권 제3호Fatou theorem and embedding theorems for the mean Lipschitz functions on the unit ball이진기, 조홍래대한수학회 · 대한수학회논문집2009 · 제24권 제2호
이 간행물의 다른 논문 (13건)
CHARACTERIZATIONS OF HEMIRINGS BY (∈, ∈ Vq)-FUZZY IDEALSYasir Nawaz, Muhammad Shabir, Tahir Mahmoodpp. 1-18Periodicities of some additive cellular automata김재겸pp. 19-25Lightlike hypersurfaces of a Lorentz manifold with a semi-symmetric non-metric connection진대호pp. 27-32Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection신종문pp. 33-40Certain integral representations of Generalized Stieltjes constants γk(a)신종문pp. 41-53