Displaying similar documents to “Besov characteristic of a distribution.”

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...

On some Mixture Distributions

Nakhi, Y. Ben, Kalla, S.L. (2004)

Fractional Calculus and Applied Analysis

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The aim of this paper is to establish some mixture distributions that arise in stochastic processes. Some basic functions associated with the probability mass function of the mixture distributions, such as k-th moments, characteristic function and factorial moments are computed. Further we obtain a three-term recurrence relation for each established mixture distribution.