Open this publication in new window or tab >>2015 (English)In: Analysis and Applications, ISSN 0219-5305, Vol. 13, no 5, p. 457-480Article in journal (Refereed) Published
Abstract [en]
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 Equations 248 (2010) 1972–2002].
Place, publisher, year, edition, pages
World Scientific, 2015
Keywords
Fourier; Lebesgue; modulation; sharpness, Inbäddningar, faltningar, modulationsrum, Fourier-Lebesguerum
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-36180 (URN)10.1142/S0219530514500523 (DOI)000357134400001 ()2-s2.0-84934753270 (Scopus ID)
Projects
Matematisk modellering
2014-07-222014-07-222018-05-21Bibliographically approved