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College of Arts and Sciences
Analysis Seminar – Hanh Nguyen, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesHormander’s Condition for Multilinear Fourier Multipliers ABSTRACT: Let m be a positive integer. In this talk, we will introduce optimal conditions, expressed in terms of Sobolev spaces, on m-linear Fourier multiplier operators to be bounded from a product of Lebesgue or Hardy spaces to Lebesgue spaces. Our results are sharp and cover the bilinear case (m
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302 Gordon Palmer HallAnalysis Seminar – Kabe Moen, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesAnalysis Seminar – Cong Hoang, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesMUCKENHOUPT-WHEEDEN CONJECTURES FOR SPARSE OPERATORS Abstract. In this talk, we will show an example of a pair of weights (u, v) for which the Hardy-Littlewood maximal function is bounded from Lp(v) to Lp(u) and from Lp! (u1−p! ) to Lp! (v1−p! ) while a dyadic sparse operator is not bounded on the same domain and