A class of integral operators on mixed norm spaces in the unit ball

Songxiao Li

Displaying similar documents to “A class of integral operators on mixed norm spaces in the unit ball”

On Korovkin type theorem in the space of locally integrable functions

A. D. Gadjiev, R. O. Efendiyev, E. Ibikli (2003)

Czechoslovak Mathematical Journal

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It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space $L_{p, w} (l o c)$ does not hold in all this space and is satisfied only on some subspace.

The scalar Oseen operator $- Δ + \partial / \partial x_{1}$ in $ℝ^{2}$

Chérif Amrouche, Hamid Bouzit (2008)

Applications of Mathematics

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This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in $L^{p}$ theory.

Some embeddings into the Morrey and modified Morrey spaces associated with the Dunkl operator.

Guliyev, Emin V., Mammadov, Yagub Y. (2010)

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Irregular amalgams.

Stewart, James, Watson, Saleem (1986)

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Degenerate differential operators with parameters.

Shakhmurov, Veli B. (2007)

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Argument estimates of certain multivalent functions involving a linear operator.

Cho, Nak Eun, Patel, J., Mohapatra, G.P. (2002)

International Journal of Mathematics and Mathematical Sciences

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$L_{p}$ -estimates for SPDE with discontinuous coefficients in domains.

Kim, Kyeong-Hun (2005)

Electronic Journal of Probability [electronic only]

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Stability for non-autonomous linear evolution equations with $L^{p}$ -maximal regularity

Hafida Laasri, Omar El-Mennaoui (2013)

Czechoslovak Mathematical Journal

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We study stability and integrability of linear non-autonomous evolutionary Cauchy-problem $(P) \{\begin{matrix} \dot{u} (t) + A (t) u (t) = f (t) t -a.e. on [0, τ], u (0) = 0, \end{matrix}$ where $A : [0, τ] \to ℒ (X, D)$ is a bounded and strongly measurable function and $X$ , $D$ are Banach spaces such that $D \underset{d}{\to} ↪ X$ . Our main concern is to characterize $L^{p}$ -maximal regularity and to give an explicit approximation of the problem (P).