Displaying similar documents to “Inequalities of Calderón-Zygmund type for trigonometric polynomials.”

Generalized Besov type spaces on the Laguerre hypergroup

Miloud Assal, Hacen Ben Abdallah (2005)

Annales mathématiques Blaise Pascal

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In this paper we study generalized Besov type spaces on the Laguerre hypergroup and we give some characterizations using different equivalent norms which allows to reach results of completeness, continuous embeddings and density of some subspaces. A generalized Calderón-Zygmund formula adapted to the harmonic analysis on the Laguerre Hypergroup is obtained inducing two more equivalent norms.

Sharp embeddings of Besov spaces with logarithmic smoothness.

Petr Gurka, Bohumir Opic (2005)

Revista Matemática Complutense

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We prove sharp embeddings of Besov spaces B with the classical smoothness σ and a logarithmic smoothness α into Lorentz-Zygmund spaces. Our results extend those with α = 0, which have been proved by D. E. Edmunds and H. Triebel. On page 88 of their paper (Math. Nachr. 207 (1999), 79-92) they have written: ?Nevertheless a direct proof, avoiding the machinery of function spaces, would be desirable.? In our paper we give such a proof even in a more general context. We cover...