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2 results

Sharp Norm Estimates for the Bergman Operator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces
Carme Cascante, Joan Fàbrega, Joaquín M. Ortega
Journal:

Canadian Journal of Mathematics / Volume 68 / Issue 6 / 01 December 2016

Published online by Cambridge University Press:

20 November 2018, pp. 1257-1284

Print publication:

01 December 2016
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In this paper we give sharp norm estimates for the Bergman operator acting from weighted mixed-norm spaces to weighted Hardy spaces in the ball, endowed with natural norms.

Brown-Halmos Type Theorems of Weighted Toeplitz Operators
Takahiko Nakazi
Journal:

Canadian Mathematical Bulletin / Volume 41 / Issue 2 / 01 June 1998

Published online by Cambridge University Press:

20 November 2018, pp. 196-206

Print publication:

01 June 1998
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The spectra of the Toeplitz operators on the weighted Hardy space ${{H}^{2}}\,(W\,d\theta \,/\,2\pi )$ and the Hardy space ${{H}^{p}}\,(d\theta \,/\,2\pi )$, and the singular integral operators on the Lebesgue space ${{L}^{2}}\,(d\theta \,/\,2\pi )$ are studied. For example, the theorems of Brown-Halmos type and Hartman-Wintner type are studied.