On the properties of quasi-Banach function spaces

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16)

Cites Work

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Linear operators, Fourier integral operators and \(k\)-plane transforms on rearrangement-invariant quasi-Banach function spaces
Symmetrization, factorization and arithmetic of quasi-Banach function spaces
Kadec-Klee properties of some quasi-Banach function spaces
Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms
Real-variable theory of Hardy spaces associated with generalized Herz spaces of Rafeiro and Samko
Weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: decompositions, real interpolation, and Calderón-Zygmund operators
Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Littlewood-Paley characterizations with applications to boundedness of Calderón-Zygmund operators
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures
Sublinear operators on radial rearrangement-invariant quasi-Banach function spaces
Applications of Hardy spaces associated with ball quasi-Banach function spaces
Sobolev embeddings in Orlicz and Lorentz spaces with measures
Fractional integral operators on Morrey spaces built on rearrangement-invariant quasi-Banach function spaces
Compactness characterizations of commutators on ball Banach function spaces
Newtonian spaces based on quasi-Banach function lattices
Minimal weak upper gradients in Newtonian spaces based on quasi-Banach function lattices
Normability of Lorentz spaces—an alternative approach
Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces
FOURIER-TYPE TRANSFORMS ON REARRANGEMENT-INVARIANT QUASI-BANACH FUNCTION SPACES
On relatively compact sets in quasi-Banach function spaces
Optimal estimates for the fractional Hardy operator
Hardy spaces for ball quasi-Banach function spaces
Fourier integrals and Sobolev embedding on rearrangement invariant quasi-Banach function spaces
Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces
Riesz transform characterization of Hardy spaces associated with ball quasi-Banach function spaces
Basic functional properties of certain scale of rearrangement‐invariant spaces
Extrapolation in general quasi-Banach function spaces
Fractional Leibniz rules in the setting of quasi-Banach function spaces
Gagliardo representation of norms of ball quasi-Banach function spaces

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