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Positive Toeplitz operators on pluriharmonic Bergman spaces

Positive Toeplitz operators on pluriharmonic Bergman spaces

We study Toeplitz operators on the pluriharmonic Bergman spaces $b^{p}$ for $1<p<\infty$. We give characterizations of Toeplitz operators with positive symbols to be bounded, compact and in the Schatten classes. Also, we describe the essential spectra of Toeplitz operators with uniformly continuous symbols.