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Lower bounds for weak-type constants of some operators

Prelegent(ci)
Michał Strzelecki
Afiliacja
Uniwersytet Warszawski
Język referatu
angielski
Termin
12 grudnia 2024 12:15
Pokój
p. 3160
Tytuł w języku polskim
Lower bounds for weak-type constants of some operators
Seminarium
Seminarium Zakładu Rachunku Prawdopodobieństwa

In the talk I shall present a counterexample to a conjecture of Gill about the exact value of the weak-type (1,1) constant of some Hardy-type operators (which arise when one restricts the Beurling-Ahlfors transform to certain radial function subspaces). I plan to briefly discuss some general background, as well as connections to probabilistic methods, but in the main part of the talk we will work only with functions on the real-line and we will use only elementary calculus.