Molecular decomposition of the modulation spaces

zbMath1211.42021MaRDI QIDQ624266

Masaharu Kobayashi, Yoshihiro Sawano

Publication date: 9 February 2011

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1292854316

zbMATH Keywords

dual spaceGabor expansionpseudo-differential operatormodulation spacemolecular decomposition\(A_{p}\)-weight

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (6)

Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations ⋮ Gabor families in \(l^{2}(\mathbb{Z}^{d})\) ⋮ Weighted modulation space \(M^s_{p,q}(w)\) with \(w \in A_\infty^{\text{loc}}\) ⋮ Modulation Spaces and Nonlinear Evolution Equations ⋮ The inclusion relations between \(\alpha\)-modulation spaces and \(L^{p}\)-Sobolev spaces or local Hardy spaces ⋮ The global Cauchy problems for the nonlinear dispersive equations on modulation spaces

Cites Work

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