Displaying similar documents to “Rational modules and higher order Cauchy transforms.”

Approximation by p -Faber-Laurent rational functions in the weighted Lebesgue spaces

Daniyal M. Israfilov (2004)

Czechoslovak Mathematical Journal

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Let L C be a regular Jordan curve. In this work, the approximation properties of the p -Faber-Laurent rational series expansions in the ω weighted Lebesgue spaces L p ( L , ω ) are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a k th integral modulus of continuity in L p ( L , ω ) spaces is estimated.

Irregular amalgams.

Stewart, James, Watson, Saleem (1986)

International Journal of Mathematics and Mathematical Sciences

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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 + / x 1 in 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.