Lp→Lq boundedness of Fourier multipliers
Nursultanov M.
June 2025Springer Nature
Analysis Mathematica
2025#51Issue 2605 - 634 pp.
This paper explores the boundedness of Fourier multipliers from Lp to Lq. We present new results that improve upon classical theorems due to Hörmander, Lizorkin, and Marcinkiewicz. In addition, we provide necessary conditions for the boundedness of Fourier multipliers. We introduce the concept of M-generalized monotone functions and sequences and derive criteria for the boundedness of Fourier multipliers corresponding to them.
Fourier coefficient , Fourier multiplier , Fourier transform , Hörmander’s theorem , Lizorkin’s theorem , Marcinkiewicz’s theorem
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Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics and Statistics
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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