A LITTLEWOOD-PALEY TYPE THEOREM FOR BERGMAN SPACES
A LITTLEWOOD-PALEY TYPE THEOREM FOR BERGMAN SPACES
摘要
In this paper, we prove that the original Littlewood-Paley g-functions can be used to characterize Bergman spaces as well.
In this paper, we prove that the original Littlewood-Paley g-functions can be used to characterize Bergman spaces as well.
基金
partially supported by NSFC(11171338)
二级参考文献20
-
1AHERN P, BRUNA J. Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of Cn [J]. Revista Mate Iber, 1988, 4: 123-153.
-
2AHERN P, COHN W. Besov spaces, Sobolev spaces, and Cauchy integrals [J]. Michigan Math J, 1972, 39: 239-261.
-
3ALEKSANDROV A. Function theory in the unit ball [C]. Several Complex Variables II (G M Khenkin and A G Vitushkin, editors). Berlin: Springer-Verlag, 1994.
-
4ARCOZZI N, ROCHBERG R, SAWYER E. Carleson measures and interpolating sequences for Besov spaces on complex balls [J]. Memoirs Amer Math Soc, 2006, 859: 1-163.
-
5ARCOZZI N, ROCHBERG R, SAWYER E. Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls [J]. Adv Math, 2008, 218: 1107-1180.
-
6BEATROUS F, BURBEA J. Holomorphic Sobolev spaces on the ball[J]. Dissertationes Mathematicae, 1989, 276: 1-78.
-
7CHEN Zeqian, OUYANG Wei. Maximal and aera integral characterizations of Bergman spaces in the unit ball of Cn [J]. arXiv: 1005.2936.
-
8CHEN Zeqian, OUYANG Wei. Real-variable characterizations of Bergman spaces in the unit ball of C'" [J]. arXiv: 1103.6122.
-
9COIFMAN R R, MEYER Y, STEIN E M. Some new function spaces and their applications Oll harmonic analysis [J]. J Funct Anal, 1985, 62: 304-335.
-
10COIFMAN R, ROCHBERG R. Representation theorems for holomorphic and harmonic functions in Lp [J]. Asterisque, 1980, 77: 11-66.
-
1Xiao Fen LU.Extended Cesàro Operators between Different Bergman Spaces in the Ball[J].Journal of Mathematical Research and Exposition,2011,31(3):545-550.
-
2卢玉峰.Localization of Toeplitz Operators on Bergman Spaces[J].Northeastern Mathematical Journal,2001,17(4):461-468.
-
3XUHui-ming LIUTai-shun.Weighted Composition Operators between Hardy Spaces on the Unit Ball[J].Chinese Quarterly Journal of Mathematics,2004,19(2):111-119. 被引量:6
-
4YUEXiu-kui.Multipliers on Generalized Bergman Spaces[J].Chinese Quarterly Journal of Mathematics,2005,20(1):47-53.
-
5Luo LUO,Jing CHEN.Essential Norms of Composition Operators between Weighted Bergman Spaces of the Unit Disc[J].Acta Mathematica Sinica,English Series,2013,29(4):633-638. 被引量:2
-
6邢富冲.On Converse Theorem of Best Approximation by Polynomials in Bergman Spaces H_q^p(p>0,q>1)[J].Chinese Quarterly Journal of Mathematics,1993,8(4):89-98.
-
7Tang Xiaomin.WEIGHTED COMPOSITION OPERATORS BETWEEN BERS-TYPE SPACES AND BERGMAN SPACES[J].Applied Mathematics(A Journal of Chinese Universities),2007,22(1):61-68. 被引量:2
-
8曹广福.Composition Operators on Compact Riemann Surfaces[J].Northeastern Mathematical Journal,2001,17(4):476-480. 被引量:5
-
9J.H.CLIFFORD,ZHENGDECHAO.COMPOSITION OPERATORS ON BERGMAN SPACES[J].Chinese Annals of Mathematics,Series B,2003,24(4):433-448. 被引量:2
-
10WangMao-fa,UuPei-de,ZhouShao-bo.Composition Operators with Linear Fractional Symbols on Vector-Valued Bergman Spaces[J].Wuhan University Journal of Natural Sciences,2003,8(03A):759-764. 被引量:1