Carleson measures and Teoplitz operators for weighted Bergman spaces on the unit ball

Abstract

We obtain some new characterizations on Carleson measures for weighted Bergman spaces on the unit ball involving product of functions. For these, we characterize bounded and compact Toeplitz operators between weighted Bergman spaces. The results are applied to characterize bounded and compact extended Cesro operators and pointwise multiplication operators. The results are new even in the case of the unit disk.