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A connection between Fourier and Schur multipliers
Authors:Victor Olevskii
Institution:(1) Department of Theoretical Mathematics, The Weizmann Institute of Science, POB 26, 76100 Rehovot, Israel
Abstract:We construct a continuous functionf on the circle such thatf is a Fourier multiplier inl p , 1<p<infin, but phgr(x, y)=f(x–y) is not a Schur multiplier inS p ,pne2.
Keywords:Primary 42A45  Secondary 47B10  47B49
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