Sharp convolution and multiplication estimates in weighted spaces
2015 ◽
Vol 13
(05)
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pp. 457-480
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We establish sharp convolution and multiplication estimates in weighted Lebesgue, Fourier Lebesgue and modulation spaces. We cover, especially some results in [L. Hörmander, Lectures on Nonlinear Hyperbolic Differential Equations (Springer, Berlin, 1997); S. Pilipović, N. Teofanov and J. Toft, Micro-local analysis in Fourier Lebesgue and modulation spaces, II, J. Pseudo-Differ. Oper. Appl.1 (2010) 341–376]. The results are also related to some results by Iwabuchi in [T. Iwabuchi, Navier–Stokes equations and nonlinear heat equations in modulation spaces with negative derivative indices, J. Differential Equations248 (2010) 1972–2002].
2010 ◽
Vol 248
(8)
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pp. 1972-2002
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Keyword(s):
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2015 ◽
Vol 17
(3)
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pp. 577-597
2003 ◽
Vol 11
(4)
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