We characterize the non-negative measuresμ on the unit disk D for which the area operator Aμ is bounded from Bergman space Aαp to Lq ((δ)D).doi:10.1007/s11425-006-0987-7WU ZhijianDepartment of MathematicsScience China MathematicsWu Z.: Area operator on Bergman spaces. Sci. China ...
Rochberg R. Decomposition theorems for Bergman spaces and their applications. Operators and function theory (Lancaster, 1984) NATO Adv Sci Inst Ser C Math Phys Sci, 153. Dordrecht: Reidel, 1985, 225–277. Google Scholar [12] Wu Z. Area operator on Bergman spaces. Sci China Ser A, 2006,...
A Toeplitz-type operator on Hardy spaces in the unit ball 2020, Transactions of the American Mathematical Society Function classes on the unit disc: An introduction 2019, Function Classes on the Unit Disc: An Introduction Compact embedding derivatives of hardy spaces into Lebesgue spaces 2016, Proce...
We characterize the non-negative measuresμ on the unit disk D for which the area operator Aμ is bounded from Bergman space Aαp to Lq ((δ)D).doi:10.1007/s11425-006-0987-7WU Zhijian中国科学:数学(英文版)Wu Z.: Area operator on Bergman spaces. Sci. China Ser. A Math. 49 (7)...
WU;Zhijian;Department;of;Mathematics;the;University;of;Alabama;Tuscaloosa;AL;35487;USA.Area operator on Bergman spaces.Science in China(Series A:Mathematics).2006WU Zhijian Department of Mathematics, the University of Alabama, Tuscaloosa, AL 35487, USA.Area operator on Bergman spaces[J]. Science ...
Area Operators on Bergman SpacesArea operatorBergman spacetent spacearea formulaEMBEDDING DERIVATIVESHARDY-SPACESANALYTIC-FUNCTIONSUNIT BALLH-PWe completely characterize the boundedness of the area operators from the Bergman spaces A(alpha)(p)(B-n) to the Lebesgue spaces L-q(S-n) for all 0 ...
bergman spacescarleson measuresWe characterize the non-negative measures μ on the unit disk D for which the area operator A_μ is bounded from Bergman space A_p~α to L_q (partial derivD).WU ZhijianDepartment of MathematicsScience in China. Series A, Mathematics, physics, astronomyZ. Wu....
the boundedness and compactness of the area operators was studied by Cohn and Wu respectively on the Hardy space and the weighted Bergman space(see [4], =-=[5]-=-, [10]).ON SOME NEW EMBEDDING THEOREMS 245 Motivated by results of [4], [10], we define the area operator on the unit...
Maximal and Area Integral Characterizations of Bergman Spaces in the Unit Ball of ? n[J] . Zeqian Chen,Wei Ouyang,Pei De Liu.Journal of Function Spaces and Applications . 2013Z. Chen and W. Ouyang, Maximal and area integral characterizations of Bergman spaces in the unit ball of Cn, ar...
Wang, Area integral means, Hardy and weighted Bergman spaces of planar harmonic mappings, Kodai Math. J. 36 (2013), no. 2, 313- 324.Sh. Chen, S. Ponnusamy and X. Wang, Area integral means, Hardy and weighted Bergman spaces on planar harmonic mappings, Submitted....