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Seminar on Analysis, Differential Equations and Mathematical Physics
November 16, 2023 18:00–19:00, Rostov-on-Don, online, ссылка для подключения на странице семинара
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Bi-parameter Potential theory and some applications to holomorphic spaces
N. Arcozzi Department of Mathematics, University of Bologna
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Abstract:
The bidisc carries its own natural Potential Theories, which are not developed in depth. The main obstructions are the lack of the usual basic tools: covering theorems, maximum principles, inequalities for weighted maximal functions... In the case of the bi-disc, we prove a Capacitary Strong Inequality and deduce from it a characterization of the trace inequalities for a Bessel Potential Space. As a consequence, we characterize the multipliers for the Holomorphic Dirichlet Space on the bidisc.
Work in collaboration with Pavel Mozolyako, Karl-Mikael Perfekt, and Giulia Sarfatti.
Language: English
Website:
https://msrn.tilda.ws/sl
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