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Displaying 21 – 40 of 139

On Besov spaces and absolute convergence of the Fourier transform on Heisenberg groups

Leszek Skrzypczak (1998)

Commentationes Mathematicae Universitatis Carolinae

In this paper the absolute convergence of the group Fourier transform for the Heisenberg group is investigated. It is proved that the Fourier transform of functions belonging to certain Besov spaces is absolutely convergent. The function spaces are defined in terms of the heat semigroup of the full Laplacian of the Heisenberg group.

On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc

Patrick Oswald (1983)

Czechoslovak Mathematical Journal

On Best Error Bounds for Approximation by Piecewise Polynomial Functions.

O. Widlund (1976/1977)

Numerische Mathematik

On boundedness of maximal functions in Sobolev spaces.

Hajłasz, Piotr, Onninen, Jani (2004)

Annales Academiae Scientiarum Fennicae. Mathematica

On boundedness of superposition operators in spaces of Triebel-Lizorkin type

Winfried Sickel (1989)

Czechoslovak Mathematical Journal

On coerciveness in Besov spaces for abstract parabolic equations of higher order

Yoshitaka Yamamoto (1999)

Studia Mathematica

We are concerned with a relation between parabolicity and coerciveness in Besov spaces for a higher order linear evolution equation in a Banach space. As proved in a preceding work, a higher order linear evolution equation enjoys coerciveness in Besov spaces under a certain parabolicity condition adopted and studied by several authors. We show that for a higher order linear evolution equation coerciveness in Besov spaces forces the parabolicity of the equation. We thus conclude that parabolicity...

On compact embedding theorems in weighted Sobolev spaces

Antonio Avantaggiati (1979)

Czechoslovak Mathematical Journal

On compactness of embedding for Sobolev spaces defined on metric spaces.

Kałamajska, Agnieszka (1999)

Annales Academiae Scientiarum Fennicae. Mathematica

On dilation operators in Besov spaces.

Cornelia Schneider (2009)

Revista Matemática Complutense

On Dominated Extension of Continuous Affine Functions on Split Faces.

Tage Bai Andersen (1971)

Mathematica Scandinavica

On duality and interpolation for spaces of polyharmonic functions

Ewa Ligocka (1988)

Studia Mathematica

On embedding theorems

Kolyada, Viktor I. (2007)

Nonlinear Analysis, Function Spaces and Applications

This paper is devoted to embedding theorems for classes of functions of several variables. One of our main objectives is to give an analysis of some basic embeddings as well as to study relations between them. We also discuss some methods in this theory that were developed in the last decades. These methods are based on non-increasing rearrangements of functions, iterated rearrangements, estimates of sections of functions, related mixed norms, and molecular decompositions.

On embeddings and traces in Sobolev spaces with weights of power type

Jiří Rákosník (1989)

Banach Center Publications

On embeddings for classes of functions with generalized smoothness on metric spaces.

Romanov, A.S. (2004)

Sibirskij Matematicheskij Zhurnal

On embeddings of function classes defined by constructive characteristics

Boris V. Simonov, Sergey Yu. Tikhonov (2006)

Banach Center Publications

In this paper we study embedding theorems for function classes which are subclasses of $L_{p}$ , 1 ≤ p ≤ ∞. To define these classes, we use the notion of best trigonometric approximation as well as that of a (λ,β)-derivative, which is the generalization of a fractional derivative. Estimates of best approximations of transformed Fourier series are obtained.

On equivalence of super log Sobolev and Nash type inequalities

Marco Biroli, Patrick Maheux (2014)

Colloquium Mathematicae

We prove the equivalence of Nash type and super log Sobolev inequalities for Dirichlet forms. We also show that both inequalities are equivalent to Orlicz-Sobolev type inequalities. No ultracontractivity of the semigroup is assumed. It is known that there is no equivalence between super log Sobolev or Nash type inequalities and ultracontractivity. We discuss Davies-Simon's counterexample as the borderline case of this equivalence and related open problems.

On extrapolation spaces

Giuseppe Da Prato, Pierre Grisvard (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si definisce un nuovo tipo di spazi a partire da un dato spazio di Banach $X$ e da un operatore lineare $A$ in $X$ . Tali spazi si possono pensare come spazi di interpolazione $D_{A}(\vartheta)$ con $\vartheta$ negativo.

On factorization of Fefferman's inequality

Krbec, Miroslav, Schott, Thomas (1998)

Proceedings of Equadiff 9

On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities

Djalil Chafaï, Florent Malrieu (2010)

Annales de l'I.H.P. Probabilités et statistiques

Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing gaussian laws may produce a potential with multiple deep wells. We study in the present work fine properties of mixtures with respect to concentration of measure and Sobolev type functional inequalities. We provide sharp Laplace bounds for Lipschitz functions in the case of generic mixtures, involving a transportation cost diameter of the mixed...

On Function Spaces of Variable Order of Differentiation.

Hans-Gerd Leopold (1991)

Forum mathematicum

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