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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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