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检索条件"主题词=Modulation spaces"
207 条 记 录,以下是31-40 订阅
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Nonlinear operations on a class of modulation spaces
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JOURNAL OF FUNCTIONAL ANALYSIS 2020年 第9期278卷 108447-108447页
作者: Kato, Tomoya Sugimoto, Mitsuru Tomita, Naohito Osaka Univ Grad Sch Sci Dept Math Toyonaka Osaka 5600043 Japan Nagoya Univ Grad Sch Math Chikusa Ku Nagoya Aichi 4648602 Japan Gunma Univ Fac Sci & Technol Div Pure & Appl Sci Kiryu Gunma 3768515 Japan
We discuss when the nonlinear operation f -> F(f) maps the modulation space M-s(pg) (R-n) (1 n = n/q, hence it is true for this space if F is entire. We claim that it is still true for non-analytic F when q >= ... 详细信息
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A counterexample for boundedness of pseudo-differential operators on modulation spaces
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2008年 第5期136卷 1681-1690页
作者: Sugimoto, Mitsuru Tomita, Naohito Osaka Univ Dept Math Grad Sch Sci Osaka 5600043 Japan
We prove that pseudo-differential operators with symbols in the class S-1,delta(0) ( 0 < delta < 1) are not always bounded on the modulation space M-p,M-q ( q not equal 2).
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Gabor frame characterizations of generalized modulation spaces
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ANALYSIS AND APPLICATIONS 2023年 第3期21卷 547-596页
作者: Debrouwere, Andreas Prangoski, Bojan Vrije Univ Brussel Dept Math & Data Sci Pleinlaan 2 B-1050 Brussels Belgium Ss Cyril & Methodius Univ Skopje Karpos II bb Fac Mech Engn Skopje Dept Math Skopje 1000 North Macedonia
We obtain Gabor frame characterizations of modulation spaces defined via a broad class of translation-modulation invariant Banach spaces of distributions. We show that these spaces admit an atomic decomposition throug... 详细信息
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Functions operating on modulation spaces and nonlinear dispersive equations (vol 270, pg 621, 2016)
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JOURNAL OF FUNCTIONAL ANALYSIS 2016年 第6期270卷 2375-2375页
作者: Bhimani, Divyang G. Ratnakumar, P. K. Harish Chandra Res Inst Allahabad 211019 Uttar Pradesh India
The aim of this paper is two fold. We show that if a complex function F &#xA0; on CC operates in the modulation spaces Mp,1(Rn)Mp,1(Rn) by composition, then F &#xA0; is real analytic on R2&asymp;CR2&as... 详细信息
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Well-posedness for the incompressible magneto-hydrodynamic system on modulation spaces
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2012年 第2期389卷 741-753页
作者: Liu, Qiao Cui, Shangbin Sun Yat Sen Univ Dept Math Guangzhou 510275 Guangdong Peoples R China
We study the Cauchy problem for an incompressible magneto-hydrodynamics (MHD) system in the modulation space M-q,sigma(s) (R-n) (n >= 2) with initial data (u(0), b(0)) is an element of PMq,sigma s (R-n) x PMq,sigma... 详细信息
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Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type
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ANALYSIS AND APPLICATIONS 2023年 第2期21卷 453-495页
作者: Toft, Joachim Bhimani, Divyang G. Manna, Ramesh Linnaeus Univ Dept Math Vaxjo Sweden Indian Inst Sci Educ & Res Dept Math Pune Maharashtra India OCC Homi Bhabha Natl Inst Sch Math Sci Natl Inst Sci Educ & Res Bhubaneswar Jatni 752050 India
We deduce trace properties for modulation spaces (including certain Wiener-amalgam spaces) of Gelfand-Shilov *** use these results to show that psi dos with amplitudes in suitable modulation spaces, agree with normal ... 详细信息
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Sharp results for the Weyl product on modulation spaces
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JOURNAL OF FUNCTIONAL ANALYSIS 2014年 第8期267卷 3016-3057页
作者: Cordero, Elena Toft, Joachim Wahlberg, Patrik Univ Turin Dept Math I-10123 Turin TO Italy Linnaeus Univ Dept Math Vaxjo Sweden
We give sufficient and necessary conditions on the Lebesgue exponents for the Weyl product to be bounded on modulation spaces. The sufficient conditions are obtained as the restriction to N = 2 of a result valid for t... 详细信息
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Existence Theory for the Boussinesq Equation in modulation spaces
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BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 2020年 第4期51卷 1057-1082页
作者: Banquet, Carlos Villamizar-Roa, Elder J. Univ Cordoba Dept Matemat & Estadist Monteria 354 Colombia Univ Ind Santander Escuela Matemat Bucaramanga 678 Colombia
In this paper we study the Cauchy problem for the generalized Boussinesq equation with initial data in modulation spaces M-p',q(s) (R-n), n >= 1. After a decomposition of the Boussinesq equation in a 2 x 2-nonl... 详细信息
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Weyl product algebras and modulation spaces
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JOURNAL OF FUNCTIONAL ANALYSIS 2007年 第2期251卷 463-491页
作者: Holst, Anders Toft, Joachim Wahlberg, Patrik Vaxjo Univ Dept Math & Syst Engn S-35195 Vaxjo Sweden Lund Univ Dept Math S-22100 Lund Sweden Univ Newcastle Sch Elect Engn & Comp Sci Newcastle NSW 2308 Australia
We discuss algebraic properties of the Weyl product acting on modulation spaces. For a certain class of weight functions omega we prove that M((omega))(p,q) is an algebra under the Weyl product if p epsilon [1, infini... 详细信息
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Norm estimates for τ-pseudodifferential operators in Wiener amalgam and modulation spaces
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2019年 第1-2期471卷 541-563页
作者: Cordero, Elena D'Elia, Lorenza Trapasso, S. Ivan Univ Torino Dipartimento Matemat Via Carlo Alberto 10 I-10123 Turin Italy Politecn Torino Dipartimento Sci Matemat Corso Duca Abruzzi 24 I-10129 Turin Italy
We study continuity properties on modulation spaces for tau-pseudodifferential operators Op(tau) (a) with symbols a in Wiener amalgam spaces. We obtain boundedness results for tau is an element of(0, 1) whereas, in th... 详细信息
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