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Displaying 121 – 140 of 1406

An elementary proof of Komlós-Révész theorem in Hilbert spaces.

Guessous, Mohamed (1997)

Journal of Convex Analysis

An elliptic semilinear equation with source term involving boundary measures: the subcritical case.

Marie Françoise Bidaut-Véron, Laurent Vivier (2000)

Revista Matemática Iberoamericana

We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2),⎧ Δu + uq = 0, in Ω⎨⎩ u = μ, on ∂Ωwhere 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.

An embedding theorem for Sobolev type functions with gradients in a Lorentz space

Alireza Ranjbar-Motlagh (2009)

Studia Mathematica

The purpose of this paper is to prove an embedding theorem for Sobolev type functions whose gradients are in a Lorentz space, in the framework of abstract metric-measure spaces. We then apply this theorem to prove absolute continuity and differentiability of such functions.

An estimate in the spirit of Poincaré's inequality

Augusto C. Ponce (2004)

Journal of the European Mathematical Society

An estimation of the Lebesgue functions of biorthogonal systems with an application to the non-existence of some bases in C and $L^{1}$

Stanisław Kwapień, Stanisław Szarek (1979)

Studia Mathematica

An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices

Alexei Karlovich, Eugene Shargorodsky (2021)

Czechoslovak Mathematical Journal

We show that for every $p \in (1, \infty)$ there exists a weight $w$ such that the Lorentz Gamma space $Γ_{p, w}$ is reflexive, its lower Boyd and Zippin indices are equal to zero and its upper Boyd and Zippin indices are equal to one. As a consequence, the Hardy-Littlewood maximal operator is unbounded on the constructed reflexive space $Γ_{p, w}$ and on its associate space $Γ_{p, w}^{'}$ .

An existence theorem for the Urysohn integral equation in Banach spaces

Stanisław Szufla (1984)

Commentationes Mathematicae Universitatis Carolinae

An inequality for the indefinite integral of a function in $L^{q}$

Max Jodeit (1972)

Studia Mathematica

An inequality in Orlicz function spaces with Orlicz norm

Jin Cai Wang (2003)

Commentationes Mathematicae Universitatis Carolinae

We use Simonenko quantitative indices of an $𝒩$ -function $Φ$ to estimate two parameters $q_{Φ}$ and $Q_{Φ}$ in Orlicz function spaces $L^{Φ} [0, \infty)$ with Orlicz norm, and get the following inequality: $\frac{B_{Φ}}{B_{Φ} - 1} \leq q_{Φ} \leq Q_{Φ} \leq \frac{A_{Φ}}{A_{φ} - 1}$ , where $A_{Φ}$ and $B_{Φ}$ are Simonenko indices. A similar inequality is obtained in $L^{Φ} [0, 1]$ with Orlicz norm.

An integral extrapolation theorem with applcations

R. Kerman (1983)

Studia Mathematica

An interpolation theorem with $A_{p}$ -weighted $L^{p}$ spaces

Steven Bloom (1990)

Studia Mathematica

An $L_{p}$ -criterion of amenability for a locally compact group.

Kopylov, Ya.A. (2005)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

An L...-Estimate for the gradient of extremals.

Seppo Granlund (1982)

Mathematica Scandinavica

An operator characterization of $L^{p}$ -spaces in a class of Orlicz spaces

Maciej Burnecki (2008)

Banach Center Publications

We consider an embedding of the group of invertible transformations of [0,1] into the algebra of bounded linear operators on an Orlicz space. We show that if this embedding preserves the group action then the Orlicz space is an $L^{p}$ -space for some 1 ≤ p < ∞.

An optimal endpoint trace embedding

Andrea Cianchi, Luboš Pick (2010)

Annales de l’institut Fourier

We find an optimal Sobolev-type space on $ℝ^{n}$ all of whose functions admit a trace on subspaces of $ℝ^{n}$ of given dimension. A corresponding trace embedding theorem with sharp range is established.

Currently displaying 121 – 140 of 1406

Previous Page 7 Next

Displaying 121 – 140 of 1406

An elementary proof of Komlós-Révész theorem in Hilbert spaces.

An elliptic semilinear equation with source term involving boundary measures: the subcritical case.

An embedding theorem for Sobolev type functions with gradients in a Lorentz space

An estimate in the spirit of Poincaré's inequality

An estimation of the Lebesgue functions of biorthogonal systems with an application to the non-existence of some bases in C and $L^{1}$

An example of a reflexive Lorentz Gamma space with trivial Boyd and Zippin indices

An existence theorem for the Urysohn integral equation in Banach spaces

An inequality for the indefinite integral of a function in $L^{q}$

An inequality in Orlicz function spaces with Orlicz norm

An integral extrapolation theorem with applcations

An interpolation theorem with $A_{p}$ -weighted $L^{p}$ spaces

An $L_{p}$ -criterion of amenability for a locally compact group.

An L...-Estimate for the gradient of extremals.

An operator characterization of $L^{p}$ -spaces in a class of Orlicz spaces

An optimal endpoint trace embedding

Analyse harmonique, analyse complexe et géométrie des espaces de Banach

(Annexe) Convergence en mesure des séries aléatoires vectorielles à multiplicateur borné

Application des ultraproduits à l'étude des espaces et des algèbres de Banach

Application Leindler spaces to the real interpolation method.

Applications de dualité dans les espaces de Köthe

Currently displaying 121 – 140 of 1406