Displaying similar documents to “Compact composition operators on Hardy-orlicz spaces”

Double exponential integrability, Bessel potentials and embedding theorems

David Edmunds, Petr Gurka, Bohumír Opic (1995)

Studia Mathematica

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This paper is a continuation of [5] and provides necessary and sufficient conditions for double exponential integrability of the Bessel potential of functions from suitable (generalized) Lorentz-Zygmund spaces. These results are used to establish embedding theorems for Bessel potential spaces which extend Trudinger's result.

On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.

María Jesús Carro (2002)

Publicacions Matemàtiques

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Given a sublinear operator T satisfying that ||Tf||Lp(ν) ≤ C/(p-1) ||f||Lp(μ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that... [check the paper abstract for the formula] This estimate implies that T: L log L → B, where B is a rearrangement invariant space. The purpose of this note is to give several...

Absolute values of BMOA functions.

Konstantin M. Dyakonov (1999)

Revista Matemática Iberoamericana

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The paper contains a complete characterization of the moduli of BMOA functions. These are described explicitly by a certain Muckenhoupt-type condition involving Poisson integrals. As a consequence, it is shown that an outer function with BMO modulus need not belong to BMOA. Some related results are obtained for the Bloch space.

Superposition of imbeddings and Fefferman's inequality

Miroslav Krbec, Thomas Schott (1999)

Bollettino dell'Unione Matematica Italiana

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In questo lavoro si studiano condizioni sufficienti sulla funzione peso V , espresse in termini di integrabilità, per la validità della disuguaglianza ∫ B u 2 ⁢ x ⁢ V ⁢ x ⁢ d ⁢ x 1 2 ≤ c ⁢ ∫ B ∇ ⁡ u ⁢ x 2 ⁢ d ⁢ x 1 2 , dove B denota una sfera in R N . Usando una tecnica di decomposizione di immersioni si dimostrano condizioni sufficienti in termini di appartenenza a spazi di Lebesgue, Lorentz-Orlicz e/o di tipo debole. Come applicazioni vengono fornite condizioni sufficienti per la proprietà forte di prolungamento unico per Δ ⁢ u ≤ V ⁢ u nelle dimensioni 2 e 3. ...