Sharp embeddings of Besov spaces with logarithmic smoothness.

Petr Gurka; Bohumir Opic

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Herz-type Besov spaces on locally compact Vilenkin groups.

Tang, Canqin, Li, Qingguo, Ma, Bolin (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Study of global solutions of parabolic equations via a priori estimates III. Equations of p-Laplacian type

Gary Lieberman (1996)

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Convergence of approximate solutions of a differential equation

Jan Kowalski (1994)

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On boundedness of a certain class of Hardy-Steklov type operators in Lebesgue spaces.

Stepanov, V.D., Ushakova, E.P. (2010)

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On a trace inequality for one-sided potentials and applications to the solvability of nonlinear integral equations.

Kokilashvili, V., Meskhi, A. (2001)

Georgian Mathematical Journal

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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.

$L_{\infty}$ -estimate for solutions of nonlinear parabolic systems

Wojciech Zajączkowski (1996)

Banach Center Publications

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We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an $L_{\infty}$ -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, $L_{\infty}$ -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The $L_{\infty}$ -estimates are obtained by the Di Benedetto methods.