Toeplitz operators on the weighted harmonic Bergman spaces

Published 19 Mar 2016 in math.FA | (1603.06085v1)

Abstract: In this paper, we study Toeplitz operators on the weighted harmonic Bergman spaces with nonnegative symbols, the weights we choose here are Muckenhoupt A_2 weights. Results obtained include characterizations of bounded Toeplitz operators, compact Toeplitz operators, invertible Toeplitz operators and Toeplitz operators in the Schatten classes.

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