%0 Journal Article
%T Toeplitz operators with L^1 symbols on the weighted Bergman spaces
%A Zhonghua He
%A Guangfu Cao
%J International Journal of Mathematical Analysis
%D 2013
%I 
%X This paper characterizes the boundedness and compactness of aToeplitz operator on the weighted Bergman space with a L1 symbol.This result extends known results in the cases when the symbol is eithera positive L1 function, an L¡Þ function or a general BMO1 function.In addition, we also give some estimates about the norm and essentialnorm of Toeplitz operators with L1 symbols.
%K Essential norms
%K Bergman space
%K Toeplitz operator
%K the Berezin transform
%U http://www.m-hikari.com/ijma/ijma-2013/ijma-5-8-2013/hezhonghuaIJMA5-8-2013.pdf