Continuité sur les espaces de Hölder et de Sobolev des opérateurs définis par des intégrales singulières
Continuité-Sobolev de certains opérateurs paradifférentiels.
L'objet de ce travail est l'étude de la continuité des opérateurs d'intégrales singulières (au sens de Calderón-Zygmund) sur les espaces de Sobolev Hs. Il complète le travail fondamental de David-Journé [6], concernant le cas s = 0, et ceux de P. G. Lemarié [10] et M. Meyer [11] concernant le cas 0 < s < 1.
Continuity and differentiability properties of nonlinear operators
Continuity and Fréchet-Differentiability of Nemytskij Operators in Hölder Spaces.
Continuity and Hypocontinuity for Bilinear Maps.
Continuity and linear extensions of quantum measures on Jordan operator algebras.
Continuity for some multilinear operators of integral operators on Triebel-Lizorkin spaces.
Continuity of a homomorphism on commutative subalgebras is not sufficient for continuity
Continuity of characters in products of algebras
Continuity of derivations from radical convolution algebras
Continuity of derivations on a complete normed alternative algebra
Continuity of derivations on semi-prime Banach algebras.
Continuity of generalized inverses in Banach algebras
The main topic of the paper is the continuity of several kinds of generalized inversion of elements in a Banach algebra with identity. We introduce the notion of asymptotic generalized invertibility and completely characterize sequences of elements with this property. Based on this result, we derive continuity criteria which generalize the well known criteria from operator theory.
Continuity of homomorphisms into normed algebras without topological divisors of zero.
Continuity of hysteresis operators in Sobolev spaces
We prove that the classical Prandtl, Ishlinskii and Preisach hysteresis operators are continuous in Sobolev spaces for , (localy) Lipschitz continuous in and discontinuous in for arbitrary . Examples show that this result is optimal.
Continuity of Jordan homomorphisms of Banach algebras.
Continuity of multiplication of distributions.
Continuity of Nemyckij's operator in Hölder spaces
Continuity of operators on Saks spaces
Continuity of Pseudo-differential Operators on Bessel And Besov Spaces
We study the continuity of pseudo-differential operators on Bessel potential spaces Hs|p (Rn ), and on the corresponding Besov spaces B^(s,q)p (R ^n). The modulus of continuity ω we use is assumed to satisfy j≥0, ∑ [ω(2−j )Ω(2j )]2 < ∞ where Ω is a suitable positive function.