After reviewing Grunsky operator and Faber operator acting on Dirichlet space,we discuss the boundedness of Faber operator on BMOA,a new subject which turns out to be closely related to the BMO theory of the universal...
supported by the National Natural Science Foundation of China(11671357,11801508)。
For anyα∈R,the logarithmic Bloch space BLαconsists of those functions f which are analytic in the unit disk D with.■In this paper,we characterize the closure of the analytic functions of bounded mean oscillation B...
The family of spaces F(p,q,s)was introduced by the author in 1996.Since then,there has been great development in the theory of these spaces,due to the fact that these spaces include many classical function spaces,and ...
Supported by the National Natural Science Foundation of People’s Republic of China(Grant Nos.12031002and 11971086)。
For two analytic self-mapsφandψdefined on the unit disk D,we characterize completely the boundedness and compactness of the difference Cφ-Cψof the composition operators Cφand Cψfrom Bloch space B into Besov spac...
Supported by National Natural Science Foundation of China(Grant No.10971040)
We study the weighted composition operators Wh,on Hardy space H2(B) whenever h ∈ BMOA(resp.h ∈ VMOA).Analogous results are given for Hp(B) spaces and the scale of weighted Bergman spaces.In the latter case,BMO...
supported by the National Natural Science Foundation of China(10771064,11101139);Natural Science Foundation of Zhejiang province (Y7080197,Y6090036,Y6100219);Foundation of Creative Group in Universities of Zhejiang Province (T200924)
In this article, we characterize the boundedness and compactness of extended Cesaro operators on the spaces BMOA by the Carleson measures in the unit ball. Mea while, we study the pointwise multipliers on BMOA.
supported by Natural Science Foundation of Fujian Province (Grant No. 2009J01004)
Let Ω be a smoothly bounded convex domain of finite type in Cn,Ω be the boundary of Ω, S α(f) and g(f) be the area integral and Littlewood-Paley g-function on Ω,respectively. If f ∈ BMOA,then S α(f) < ∞ a.e. ...
Supported by the Unidade de Investigao "Matemtica e Aplicaoes" of University of Aveiro, National Natural Science Foundation of China (Grant No. 10771201);New Century Excellent Talentsin University (Grant No. 05-0539)
A Jackson type inequality in Q p spaces is established, i.e., for any f (z) = Σ∞ j=0 ajzj ∈ Qp , 0≤p < ∞, a > 1, and k-1 ∈ N,where ω(1/k, f, Q p ) is the modulus of continuity in Q p spaces and C(a) is an...