Composition operators on Lorentz spaces

DOI10.1017/S0004972700039599zbMath1138.47016MaRDI QIDQ5438360

Gopal Datt, Satish Verma, Subhash Chander Arora

Publication date: 23 January 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

distribution functioncomposition operators\(L^p\)-spacesLorentz spacesnon-increasing rearrangements

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items

Operators on weighted Lorentz-Karamata-Bochner spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Bounded composition operator on Lorentz spaces ⋮ Unnamed Item ⋮ Weighted composition operators induced by strongly measurable functions ⋮ Injective composition operators on Lorentz–Bochner spaces ⋮ Weighted composition operator on the gamma spaces \(\Gamma_X(w)\) ⋮ Essential norm of substitution operators on \(L^p\) spaces ⋮ Unbounded hyperexpansive weighted composition operators on \(L^{2} (\varSigma )\) ⋮ Boundedness of composition operators on Morrey spaces and weak Morrey spaces ⋮ WEIGHTED COMPOSITION OPERATORS BETWEEN LORENTZ SPACES

Cites Work

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• The analysis of composition operators on \(L^ p\) and the Hopf decomposition
• Fredholm weighted composition operators
• Some new functional spaces
• On the theory of spaces \(\Lambda\)
• Composition operators on Banach function spaces