On the localization of measure induced Toeplitz operators on the Bergman space

Zorboska, Nina

doi:10.1090/proc/15880

On the localization of measure induced Toeplitz operators on the Bergman space
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by Nina Zorboska PDF

Proc. Amer. Math. Soc. 150 (2022), 2545-2551 Request permission

Abstract:

We prove that a Toeplitz operator with a complex Borel measure symbol whose total variation is Carleson is strongly localized, thus improving the recent localization results from Sadeghi and Zorboska [J. Math. Anal. Appl. 485 (2020), p. 16]. We also show that as a corollary, we get yet another view of some of the previously known results on Toeplitz operators with BMO symbols.

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