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Tuesday, 29 April 2025 - 10:00 to 11:30 <br />
Place: IM, konírna
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Speaker: Sheldon Dantas, University of Granada<br />
Title: Weighted norm attainment in spaces of holomorphic functions
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Abstract <br />
<p>In this talk, we study holomorphic functions attaining weighted norms and its connections with the classical theory of norm attaining holomorphic functions. We prove that there are polynomials on which attain their weighted but not their supremum norm and viceversa. Nevertheless, we also prove that in the context of polynomials of fixed degree both norms are in fact equivalent. This leads us to the main problem of the talk, namely, whether the holomorphic functions attaining their weighted norm are dense. This is a joint work with Rubén Medina from Public University of Navarre.</p>
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For more information see the seminar web page at <br />
https://www.math.cas.cz/index.php/events/seminar/6
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Set Theory and Analysis mailing list <br />
settfa@math.cas.cz <br />
https://list.math.cas.cz/listinfo/settfa@math.cas.cz
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