scholarly journals Molecular decomposition and a class of Fourier multipliers for bi-parameter modulation spaces

2019 ◽  
Vol 18 (6) ◽  
pp. 3103-3120 ◽  
Author(s):  
Qing Hong ◽  
◽  
Guorong Hu
Keyword(s):  
Fourier Multipliers ◽  
Modulation Spaces ◽  
Parameter Modulation ◽  
Molecular Decomposition

scholarly journals Remarks on the Unimodular Fourier Multipliers onα-Modulation Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Guoping Zhao ◽  
Jiecheng Chen ◽  
Weichao Guo
Keyword(s):  
Besov Spaces ◽  
Fourier Multiplier ◽  
Radial Function ◽  
Necessary Conditions ◽  
Fourier Multipliers ◽  
Modulation Spaces ◽  
Multiplier Operator ◽  
Size Condition ◽  
Sufficient And Necessary Conditions ◽  
Fourier Multiplier Operator

We study the boundedness properties of the Fourier multiplier operatoreiμ(D)onα-modulation spacesMp,qs,α  (0≤α<1)and Besov spacesBp,qs(Mp,qs,1). We improve the conditions for the boundedness of Fourier multipliers with compact supports and for the boundedness ofeiμ(D)onMp,qs,α. Ifμis a radial functionϕ(|ξ|)andϕsatisfies some size condition, we obtain the sufficient and necessary conditions for the boundedness ofeiϕ(|D|)betweenMp1,q1s1,αandMp2,q2s2,α.

Asymptotic estimates for unimodular Fourier multipliers on modulation spaces

2012 ◽  
Vol 32 (2) ◽  
pp. 467-485 ◽  
Author(s):  
Jiecheng Chen ◽  
◽  
Dashan Fan ◽  
Lijing Sun ◽  
Keyword(s):  
Fourier Multipliers ◽  
Modulation Spaces ◽  
Asymptotic Estimates

scholarly journals Fourier multipliers of classical modulation spaces

2006 ◽  
Vol 21 (3) ◽  
pp. 349-359 ◽  
Author(s):  
Hans G. Feichtinger ◽  
Ghassem Narimani
Keyword(s):  
Fourier Multipliers ◽  
Modulation Spaces

scholarly journals Fourier Multipliers and Littlewood-Paley for modulation spaces

2013 ◽  
Vol 287 (2-3) ◽  
pp. 324-338
Author(s):  
Parasar Mohanty ◽  
Saurabh Shrivastava
Keyword(s):  
Fourier Multipliers ◽  
Modulation Spaces

scholarly journals Unimodular Fourier multipliers for modulation spaces

2007 ◽  
Vol 246 (2) ◽  
pp. 366-384 ◽  
Author(s):  
Árpád Bényi ◽  
Karlheinz Gröchenig ◽  
Kasso A. Okoudjou ◽  
Luke G. Rogers
Keyword(s):  
Fourier Multipliers ◽  
Modulation Spaces

scholarly journals Estimates for unimodular Fourier multipliers on modulation spaces

2009 ◽  
Vol 137 (11) ◽  
pp. 3869-3869 ◽  
Author(s):  
Akihiko Miyachi ◽  
Fabio Nicola ◽  
Silvia Rivetti ◽  
Anita Tabacco ◽  
Naohito Tomita
Keyword(s):  
Fourier Multipliers ◽  
Modulation Spaces
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