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๐ฟ๐‘-estimates for rough bi-parameter Fourier integral operators

๐ฟ๐‘-estimates for rough bi-parameter Fourier integral operators AbstractIn this paper, we study the Lq{L^{q}}-Lr{L^{r}} boundedness of bi-parameter Fourier integral operators defined by general rough Hörmander class amplitudes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

๐ฟ๐‘-estimates for rough bi-parameter Fourier integral operators

Wang, Guangqing; Chen, Wenyi
Forum Mathematicum , Volume 32 (6): 17 – Nov 1, 2020
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Publisher
de Gruyter
Copyright
ยฉ 2021 Walter de Gruyter GmbH, Berlin/Boston
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/forum-2019-0145
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper, we study the Lq{L^{q}}-Lr{L^{r}} boundedness of bi-parameter Fourier integral operators defined by general rough Hörmander class amplitudes.

Journal

Forum Mathematicum – de Gruyter

Published: Nov 1, 2020

Keywords: Bi-parameter Fourier integral operators; non-smooth amplitude; 42B20; 42B37

References

  • Degenerate elliptic pseudodifferential equations of principal type
  • Fourier integral operators. I
  • Bi-parameter and bilinear Calderรณnโ€“Vaillancourt theorem with subcritical order
  • Singular integrals on product spaces
  • On the global boundedness of Fourier integral operators
  • Calderรณnโ€“Zygmund operators on product spaces
  • Fourier integral operators. I
  • Symbolic calculus and boundedness of multi-parameter and multi-linear pseudo-differential operators
  • Regularity properties of Fourier integral operators
  • LpL^{p} estimates for multi-linear and multi-parameter pseudo-differential operators
  • Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators
  • Regularity properties of Fourier integral operators
  • LpL^{p} estimates for bi-parameter and bilinear Fourier integral operators