Fourier Multipliers and Comparison of Linear Operators

  • R.M. Trigub
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 191)

Abstract

Certain inequalities (sometimes sharp) for convolution type operators are given in the paper.

Mathematics Subject Classification (2000)

Primary 42A 41A Secondary 41A10 41A17 41A44 41A63 42A82 42A38 42B15 

Keywords

fourier multiplier positive definiteness the inequalities for differential operators multidimensional Fourier series and integrals modulus of smoothness K-functionals 
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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  • R.M. Trigub
    • 1
  1. 1.Dept. of MathematicsDonetsk National UniversityDonetskUkraine

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