[图书][B] Modulation spaces

Á Bényi, KA Okoudjou, Á Bényi, KA Okoudjou - 2020 - Springer
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A Hörmander type multiplier theorem for multilinear operators

N Tomita - Journal of Functional Analysis, 2010 - Elsevier
A Hörmander type multiplier theorem for multilinear operators Page 1 Journal of Functional
Analysis 259 (2010) 2028–2044 www.elsevier.com/locate/jfa A Hörmander type multiplier …

Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces

J Hart, R Torres, X Wu - Transactions of the American Mathematical Society, 2018 - ams.org
We prove that bilinear fractional integral operators and similar multipliers are smoothing in
the sense that they improve the regularity of functions. We also treat bilinear singular …

Decay characterization of solutions to dissipative equations

CJ Niche, ME Schonbek - Journal of the London Mathematical …, 2015 - academic.oup.com
We address the study of decay rates of solutions to dissipative equations. The
characterization of these rates is given for a wide class of linear systems by the decay …

On multilinear Fourier multipliers of limited smoothness

L Grafakos, A Miyachi, N Tomita - Canadian Journal of Mathematics, 2013 - cambridge.org
In this paper we prove a certain-estimate for multilinear Fourier multiplier operators with
multipliers of limited smoothness. As a consequence, we extend the result of Calderón and …

Coifman–Meyer multipliers: Leibniz-type rules and applications to scattering of solutions to PDEs

V Naibo, A Thomson - Transactions of the American Mathematical Society, 2019 - ams.org
Leibniz-type rules for Coifman–Meyer multiplier operators are studied in the settings of
Triebel–Lizorkin and Besov spaces associated with weights in the Muckenhoupt classes …

On the Hömander classes of bilinear pseudodifferential operators II

Á Bényi, F Bernicot, D Maldonado, V Naibo… - Indiana University …, 2013 - JSTOR
Boundedness properties for pseudodifferential operators with symbols in the bilinear
Hörmander classes of sufficiently negative order are proved. The results are obtained in the …

Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity

D Maldonado, V Naibo - Journal of Fourier Analysis and Applications, 2009 - Springer
We establish boundedness properties on products of weighted Lebesgue, Hardy, and
amalgam spaces of certain paraproducts and bilinear pseudodifferential operators with mild …

On the Hörmander classes of bilinear pseudodifferential operators

Á Bényi, D Maldonado, V Naibo, RH Torres - Integral Equations and …, 2010 - Springer
Bilinear pseudodifferential operators with symbols in the bilinear analog of all the
Hörmander classes are considered and the possibility of a symbolic calculus for the …

XMO and weighted compact bilinear commutators

J Tao, Q Xue, D Yang, W Yuan - Journal of Fourier Analysis and …, 2021 - Springer
To study the compactness of bilinear commutators of certain bilinear Calderón–Zygmund
operators which include (inhomogeneous) Coifman–Meyer bilinear Fourier multipliers and …