TOEPLITZ OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cn

doi:10.1007/s10473-022-0119-7

Abstract

Abstract: We study Toeplitz operators from Hardy spaces to weighted Bergman spaces in the unit ball of $C^{n}$. Toeplitz operators are closely related to many classical mappings, such as composition operators, the Volterra type integration operators and Carleson embeddings. We characterize the boundedness and compactness of Toeplitz operators from Hardy spaces $H^{p}$ to weighted Bergman spaces $A_{\alpha}^{q}$ for the different values of $p$ and $q$ in the unit ball.

Key words: Toeplitz operators, Hardy spaces, Bergman spaces, Carleson measure

CLC Number:

32A37

Ru PENG, Yaqing FAN. TOEPLITZ OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cⁿ[J].Acta mathematica scientia,Series B, 2022, 42(1): 349-363.

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TOEPLITZ OPERATORS FROM HARDY SPACES TO WEIGHTED BERGMAN SPACES IN THE UNIT BALL OF Cⁿ

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