Characterization of inclusion relations between Wiener amalgam and some classical spaces
Copyright policy )Characterization of inclusion relations between Wiener amalgam and some classical spaces
In this paper, we establish the sharp conditions for the inclusion relations between Besov spaces $B_{p,q}$ and Wiener amalgam spaces $W_{p,q}^s$. We also obtain the optimal inclusion relations between local hardy spaces $h^p$ and Wiener amalgam spaces $W_{p,q}^s$, which completely improve and extend the main results obtained by Cunanana, Kobayashib and Sugimotoa in [J. Funct. Anal. 268 (2015), 239-254]. In addition, we establish some mild characterizations of inclusion relations between Triebel-Lizorkin and Wiener amalgam spaces, which relates some modern inequalities to classical inequalities.
- Guangzhou University China (People's Republic of)
- Xiamen University of Technology China (People's Republic of)
- Wuhan University China (People's Republic of)
- Xiamen University China (People's Republic of)
Wiener amalgam space, \(H^p\)-spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Lebesgue space, local Hardy space, Triebel-Lizorkin space, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Function spaces arising in harmonic analysis, Besov space, inclusion relation
Wiener amalgam space, \(H^p\)-spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Lebesgue space, local Hardy space, Triebel-Lizorkin space, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Function spaces arising in harmonic analysis, Besov space, inclusion relation
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