Marcinkiewicz's theorem on operator multipliers of Fourier series期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Marcinkiewicz's theorem on operator multipliers of Fourier series

Authors:	Milutin R. Dostanic

Affiliation:	Matematicki Fakultet, University of Belgrade, Studentski Trg 16, 11000 Belgrade, Serbia

Abstract:	We give some sufficient conditions on the operators $A_{m}inmathcal{B} left( L^{p}left( 0,1right) right)$ which for each $Phi_{m}in L^{p}left( 0,1right)$ imply the inequality $begin{displaymath}intlimits_{0}^{1}intlimits_{0}^{2pi}leftvert sumlimi... ..._{m}e^{imx}cdot Phi_{m}left( yright) rightvert ^{p}dxdy, end{displaymath}$

Keywords:	Marcinkiewicz's theorem multipliers

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