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Sharp Maximal Inequalities and Its Application to Some Bilinear Estimates

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Abstract

In this note we establish the sharp maximal inequalities for Herz spaces and Morrey spaces by use of good λ-inequality. As an application, we obtain estimates of some bilinear forms which include usual product of functions and the nonlinear term of Euler and Navier-Stokes equations on Herz spaces and Morrey spaces.

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Authors and Affiliations

  1. Department of Mathematics, Osaka University, Osaka, Japan

    Yohei Tsutsui

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  1. Yohei Tsutsui
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Correspondence to Yohei Tsutsui.

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Communicated by Hans Triebel.

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Tsutsui, Y. Sharp Maximal Inequalities and Its Application to Some Bilinear Estimates. J Fourier Anal Appl 17, 265–289 (2011). https://doi.org/10.1007/s00041-010-9129-2

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  • DOI: https://doi.org/10.1007/s00041-010-9129-2

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