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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