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V. I. Smirnov Seminar on Mathematical Physics
December 30, 2024 15:00, St. Petersburg, PDMI, room 311, zoom online-conference
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More on Hardy's inequalities with mixed weights
A. I. Nazarovab
a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b St. Petersburg State University, Mathematics and Mechanics Faculty
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Abstract:
We continue our investigation of Hardy-type inequalities involving combinations of cylindrical and spherical weights. Compared to [Cora-Musina-Nazarov, Ann. Sc. Norm. Sup., 2024], where the quasi-spherical case was considered, we handle the full range of allowed parameters. This has led to the observation of new phenomena related to lack of compactness.
The talk is based on https://arxiv.org/abs/2411.08585 (joint work with R. Musina)
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