Fonctions dérivables
Fonctions holomorphes à croissance et à valeurs dans un -espace
Fonctions mesurables et *-scalairement mesurables, mesures banachiques majorées, martingales banachiques, et propriété de Radon-Nikodym
Fonctions qui opèrent sur les espaces de Besov.
Fonctions qui opèrent sur les espaces de Besov et de Triebel
Forme algébrique des théories de Stone-Gel'fand
Formes bilinéaires compatibles avec un système
Formes linéaires -adiques
Fortsetzungen von C...-Funktionen, welche auf einer abgeschlossenen Menge in ...n definiert sind.
Fourier approximation and embeddings of Sobolev spaces [Book]
Fourier Inequalities and Moment Subspaces in Weightes Lebesgue Spaces.
Fourier series and Hilbert transforms with values in UMD Banach spaces
Fourier Transforms of Lipschitz Functions and Fourier Multipliers on Compact Groups.
Fourier--Rademacher coefficients of functions in rearrangement-invariant spaces.
Fractal functions and Schauder bases
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.