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arxiv: 1603.06085 · v1 · pith:HCMKFUWInew · submitted 2016-03-19 · 🧮 math.FA

Toeplitz operators on the weighted harmonic Bergman spaces

classification 🧮 math.FA
keywords operatorstoeplitzbergmanharmonicspacesweightedweightsbounded
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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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