Boundedness of Iterated Spherical Average on α-Modulation Spaces

Qiang Huang; Xiaomei Wu

doi:10.1007/s11401-021-0287-0

Boundedness of Iterated Spherical Average on α-Modulation Spaces

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-021-0287-0 ◽

2021 ◽

Vol 42 (5) ◽

pp. 721-736

Author(s):

Qiang Huang ◽

Xiaomei Wu

Keyword(s):

Modulation Spaces ◽

Spherical Average

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Boundedness of iterated spherical average on modulation spaces

Nonlinear Analysis ◽

10.1016/j.na.2020.111968 ◽

2020 ◽

Vol 199 ◽

pp. 111968

Author(s):

Qiang Huang

Keyword(s):

Modulation Spaces ◽

Spherical Average

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Schatten p-class property of pseudodifferential operators with symbols in modulation spaces

Nagoya Mathematical Journal ◽

10.1215/00277630-1543796 ◽

2012 ◽

Vol 205 ◽

pp. 119-148

Author(s):

Masaharu Kobayashi ◽

Akihiko Miyachi

Keyword(s):

Pseudodifferential Operators ◽

Modulation Spaces

AbstractIt is proved that the pseudodifferential operators σt(X, D) belong to the Schatten p-class Cp, 0 < p ≤ 2, if the symbol σ(x,ω) is in certain modulation spaces on

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Well-posedness of the modified dispersion-generalized Benjamin-Ono equations in modulation spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125933 ◽

2021 ◽

pp. 125933

Author(s):

Zihua Guo ◽

Chunyan Huang

Keyword(s):

Modulation Spaces ◽

Well Posedness

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Banach frames for α-modulation spaces

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2006.05.008 ◽

2007 ◽

Vol 22 (2) ◽

pp. 157-175 ◽

Cited By ~ 25

Author(s):

Massimo Fornasier

Keyword(s):

Modulation Spaces ◽

Banach Frames

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Non-integer power estimate in modulation spaces and its applications

Science China Mathematics ◽

10.1007/s11425-016-9023-y ◽

2017 ◽

Vol 60 (8) ◽

pp. 1443-1460 ◽

Cited By ~ 2

Author(s):

JieCheng Chen ◽

Qiang Huang ◽

XiangRong Zhu

Keyword(s):

Modulation Spaces ◽

Power Estimate ◽

Integer Power

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Correction to: The Weyl product on quasi-Banach modulation spaces

Bulletin of Mathematical Sciences ◽

10.1007/s13373-018-0122-4 ◽

2018 ◽

Cited By ~ 1

Author(s):

Yuanyuan Chen ◽

Joachim Toft ◽

Patrik Wahlberg

Keyword(s):

Modulation Spaces

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Atomic characterizations of modulation spaces through Gabor-type representations

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-1989-19-1-113 ◽

1989 ◽

Vol 19 (1) ◽

pp. 113-126 ◽

Cited By ~ 64

Author(s):

Hans G. Feichtinger

Keyword(s):

Modulation Spaces

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Time-frequency analysis on modulation spaces Mmp,q, 0

Applied and Computational Harmonic Analysis ◽

10.1016/j.acha.2003.09.001 ◽

2004 ◽

Vol 16 (1) ◽

pp. 1-18 ◽

Cited By ~ 37

Author(s):

Yevgeniy V. Galperin ◽

Salti Samarah

Keyword(s):

Frequency Analysis ◽

Modulation Spaces ◽

Time Frequency Analysis ◽

Time Frequency

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Orthonormal bases for anisotropic α-modulation spaces

Collectanea mathematica ◽

10.1007/s13348-011-0052-x ◽

2011 ◽

Vol 63 (1) ◽

pp. 109-121

Author(s):

Kenneth N. Rasmussen

Keyword(s):

Modulation Spaces ◽

Orthonormal Bases

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Schrödinger Equations in Modulation Spaces

Studies in Phase Space Analysis with Applications to PDEs ◽

10.1007/978-1-4614-6348-1_5 ◽

2013 ◽

pp. 81-99 ◽

Cited By ~ 4

Author(s):

Elena Cordero ◽

Fabio Nicola ◽

Luigi Rodino

Keyword(s):

Modulation Spaces ◽

Schrodinger Equations ◽

Schrödinger Equations

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