Displaying similar documents to “Lp - Lp'-Estimates for Fourier Integral Operators Related to Hyperbolic Equations.”

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.

Irregular amalgams.

Stewart, James, Watson, Saleem (1986)

International Journal of Mathematics and Mathematical Sciences

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Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations

Michael Ruzhansky (2003)

Banach Center Publications

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In this paper we will give a brief survey of recent regularity results for Fourier integral operators with complex phases. This will include the case of real phase functions. Applications include hyperbolic partial differential equations as well as non-hyperbolic classes of equations. An application to an oblique derivative problem is also given.