Trigonometric series in different function spaces

Lundi 9 octobre 2006 14:00-15:00 - Tikhonov Sergey yu - CRM Barce

Résumé : In this talk I am going to discuss several known problems in Fourier analysis, which in a general situation do not have solutions. More specifically, let $\sum c_n e^inx$ be the Fourier series of a function $f$. We study necessary and sufficient conditions for $f$ to belong to a given function space (Lebesgue, Weighted Lebesgue, Lorentz, BMO, Bloch, Lipschitz), in terms of Fourier coefficients ${c_n}$. We assume that the sequence ${c_n}$ satisfies some additional conditions. Which conditions are « good »/« bad » for solving a given problem ?

Lieu : bât. 425 - 113-115

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