An off-diagonal Marcinkiewicz interpolation theorem on Lorentz spaces

DOI10.1007/s10114-011-0287-1zbMath1307.46021OpenAlexW2033144953MaRDI QIDQ475757

Yi Yu Liang, Li Guang Liu, Da Chun Yang

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0287-1

zbMATH Keywords

Lorentz spacequasilinear operatorMarcinkiewicz interpolation theoremrestricted weak type estimate

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)

Related Items (8)

Anisotropic Hardy-Lorentz spaces and their applications ⋮ Interpolation of operators in Hardy-type spaces ⋮ Marcinkiewicz interpolation theorem for spaces of Hardy type ⋮ Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ Musielak-Orlicz BMO-type spaces associated with generalized approximations to the identity ⋮ Marcinkiewicz type interpolation theorems for weak Orlicz martingale spaces and application ⋮ Endpoint bounds for the bilinear Hilbert transform ⋮ The multilinear Marcinkiewicz interpolation theorem revisited: the behavior of the constant

Cites Work

• Generalized Hardy spaces
• Interpolation on weak martingale Hardy space
• Endpoint estimates for Calderón-Zygmund type operators
• On L(p,q) spaces
• Some new functional spaces
• On the theory of spaces \(\Lambda\)
• ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS
• Singular maximal functions and Radon transforms near L 1
• Locally bounded linear topological spaces
• Some remarks on multilinear maps and interpolation
• Sharp Lorentz space estimates for rough operators
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