Failure of the condition N below .
Faisceaux d'espaces de Sobolev et principes du minimum
On montre que le faisceau des sursolutions locales dans d’un certain opérateur elliptique est maximal pour un principe du minimum adapté aux espaces de Sobolev. La continuité de la réduite variationnelle des éléments continus permet alors d’étudier des représentants s.c.i.
Feller semigroups obtained by variable order subordination.
Fine behavior of functions whose gradients are in an Orlicz space
For functions whose derivatives belong to an Orlicz space, we develop their "fine" properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.
Fine topology of variable exponent energy superminimizers.
First order interpolation inequalities with weights
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces.
Fixed points of asymptotically regular mappings
Fonctions à hessien borné
Cet article établit quelques propriétés des distributions sur un ouvert de dont le hessien est une mesure bornée. Après quelques propriétés topologiques – Compacité faible des bornées de lorsque est borné, densité des fonctions régulières pour une topologie assez finie – on s’intéresse au comportement sur le bord de lorsque est assez régulier; pour ce faire, on est amené à étudier celui des fonctions de . On montre enfin dans une 3ème partie des théorèmes d’injection de Sobolev et notamment...
Fonctions qui opèrent sur les espaces de Besov.
Fonctions qui opèrent sur les espaces de Besov et de Triebel
Formes bilinéaires compatibles avec un système
Fortsetzungen von C...-Funktionen, welche auf einer abgeschlossenen Menge in ...n definiert sind.
Fourier approximation and embeddings of Sobolev spaces [Book]
Fractals, trees and the Neumann Laplacian.
Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces
In this article, via fractional Hajłasz gradients, the authors introduce a class of fractional Hajłasz-Morrey-Sobolev spaces, and investigate the relations among these spaces, (grand) Morrey-Triebel-Lizorkin spaces and Triebel-Lizorkin-type spaces on both Euclidean spaces and RD-spaces.
Fractional Hardy inequalities and visibility of the boundary
We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility condition on the boundary. We demonstrate by counterexamples that fatness conditions alone are not sufficient for such Hardy inequalities to hold. In addition, we give a short exposition of various fatness conditions related to our main result, and apply fractional Hardy inequalities in connection with the boundedness of extension operators for fractional Sobolev spaces.
Fractional Hardy inequality with a remainder term
We prove a Hardy inequality for the fractional Laplacian on the interval with the optimal constant and additional lower order term. As a consequence, we also obtain a fractional Hardy inequality with the best constant and an extra lower order term for general domains, following the method of M. Loss and C. Sloane [J. Funct. Anal. 259 (2010)].
Fractional Hardy-Sobolev-Maz'ya inequality for domains
We prove a fractional version of the Hardy-Sobolev-Maz’ya inequality for arbitrary domains and norms with p ≥ 2. This inequality combines the fractional Sobolev and the fractional Hardy inequality into a single inequality, while keeping the sharp constant in the Hardy inequality.
Fractional integral operators on with Morrey-Campanato norms
We introduce function spaces with Morrey-Campanato norms, which unify , and Morrey-Campanato spaces, and prove the boundedness of the fractional integral operator on these spaces.