[图书][B] Modulation spaces

Á Bényi, KA Okoudjou, Á Bényi, KA Okoudjou - 2020 - Springer
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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 …

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 …

-Boundedness and -Nuclearity of Multilinear Pseudo-differential Operators on and the Torus

D Cardona, V Kumar - Journal of Fourier Analysis and Applications, 2019 - Springer
In this article, we begin a systematic study of the boundedness and the nuclearity properties
of multilinear periodic pseudo-differential operators and multilinear discrete pseudo …

Calderón-Vaillancourt–type theorem for bilinear operators

A Miyachi, N Tomita - Indiana University Mathematics Journal, 2013 - JSTOR
Calderón-Vaillancourt–Type Theorem for Bilinear Operators Page 1 Calderon-Vaillancourt-Type
Theorem for Bilinear Operators Akihiko Miyachi & Naohito Tomita ABSTRACT. We determine …

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 …

Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators

S Rodríguez-López, W Staubach - Journal of Functional Analysis, 2013 - Elsevier
We study the boundedness of rough Fourier integral and pseudodifferential operators,
defined by general rough Hörmander class amplitudes, on Banach and quasi-Banach Lp …

On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO

RH Torres, Q Xue - Revista Matematica Iberoamericana, 2020 - ems.press
It is known that the compactness of the commutators of point-wise multiplication with bilinear
homogeneous Calderón–Zygmund operators acting on product of Lebesgue spaces is …

[HTML][HTML] Multilinear pseudodifferential operators beyond Calderón–Zygmund theory

N Michalowski, D Rule, W Staubach - Journal of Mathematical Analysis and …, 2014 - Elsevier
We consider two types of multilinear pseudodifferential operators. First, we prove the
boundedness of multilinear pseudodifferential operators with symbols which are only …

On the bilinear Hörmander classes in the scales of Triebel-Lizorkin and Besov spaces

V Naibo - Journal of Fourier Analysis and Applications, 2015 - Springer
Boundedness properties on the scales of inhomogeneous Triebel-Lizorkin and Besov
spaces of positive smoothness are proved for pseudodifferential operators with symbols …