Publication: Local cone multipliers and Cauchy–Szegö projections in bounded symmetric domains
Authors
Ballesta Yagüe, Fernando ; Garrigós Aniorte, Gustavo Adolfo
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Publisher
Wiley; London Mathematical Society
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DOI
https://doi.org/10.1112/jlms.12986
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info:eu-repo/semantics/article
Description
Abstract
We show that the cone multiplier satisfies local Lp -Lq bounds only in the trivial range. To do so, we suitably adapt to this setting the proof of Fefferman for the ball multiplier. As a consequence we answer negatively a question by Békollé and Bonami (Colloq. Math. 68, 1995, 81-100), regarding the continuity from Lp to Lq of the Cauchy-Szegö projections associated with a class of bounded symmetric domains in Cn with rank r \geq 2 .
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Citation
Jour London Math Soc 110 (4) (2024), e12986
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