Concerning resolvent kernels of Volterra integral equations
Displaying 21 – 40 of 41
Cone-constrained linear equations in Banach spaces.
Hernandez-Lerma, O., Lasserre, J.B. (1997)
Journal of Convex Analysis
Cônes symplectiques et opérateurs de Toeplitz
Louis Boutet de Monvel (1994/1995)
Séminaire de théorie spectrale et géométrie
Construction of Sobolev spaces of fractional order with sub-riemannian vector fields
Sami Mustapha, François Vigneron (2007)
Annales de l’institut Fourier
Given a smooth family of vector fields satisfying Chow-Hörmander’s condition of step 2 and a regularity assumption, we prove that the Sobolev spaces of fractional order constructed by the standard functional analysis can actually be “computed” with a simple formula involving the sub-riemannian distance.Our approach relies on a microlocal analysis of translation operators in an anisotropic context. It also involves classical estimates of the heat-kernel associated to the sub-elliptic Laplacian.
Continuité sur les espaces de Besov des opérateurs définis par des intégrales singulières
Pierre-Gilles Lemarie (1985)
Annales de l'institut Fourier
On donne un critère très simple de continuité des opérateurs définis par des intégrales singulières sur les espaces de Besov homogènes pour . Quelques exemples, utilisant notamment l’opérateur de paraproduit, illustrent ensuite l’emploi de ce critère.
Continuité sur les espaces de Hölder et de Sobolev des opérateurs définis par des intégrales singulières
Y. Meyer (1983/1984)
Séminaire Équations aux dérivées partielles (Polytechnique)
Continuité-Sobolev de certains opérateurs paradifférentiels.
Abdellah Youssfi (1990)
Revista Matemática Iberoamericana
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 for multilinear integral operators on some Hardy and Herz type spaces.
Chen, Qiong, Liu, Lanzhe (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
Continuity for the Littlewood-paley operator and its commutator on Herz type Hardy spaces
Liu Lanzhe, Wang Hua (2006)
Kragujevac Journal of Mathematics
Continuity of multilinear operators in weighted Herz spaces with extreme exponents.
Liu, Lanzhe (2004)
Sibirskij Matematicheskij Zhurnal
Continuity of Pseudo-differential Operators on Bessel And Besov Spaces
Moussai, Madani (2001)
Serdica Mathematical Journal
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.
Continuous and generalized solutions of singular partial differential equations.
Falaleev, M.V., Sidorov, N.A. (2005)
Lobachevskii Journal of Mathematics
Continuous data dependence for an abstract Volterra integro-differential equation in Hilbert space with applications to viscoelasticity
Frederick Bloom (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Convergence dans le domaine complexe des séries de fonctions propres
Louis Boutet de Monvel (1979)
Journées équations aux dérivées partielles
Convergence of iterates of Lasota-Mackey-Tyrcha operators
Wojciech Bartoszek (1996)
Annales Polonici Mathematici
We provide sufficient and necessary conditions for asymptotic periodicity of iterates of strong Feller stochastic operators.
Convolution operators on Kucera-type spaces for the Hankel transformation
Jorge J. Betancor, Isabel Marrero (1997)
Czechoslovak Mathematical Journal
Corner Mellin operators and reduction of orders with parameters
B. W. Schulze (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Corrigenda to: "Optimal domains for the kernel operator associated with Sobolev's inequality" (Studia Math. 158 (2003), 131-152)
Guillermo P. Curbera, Werner J. Ricker (2005)
Studia Mathematica
Criterion of the integrality of the product of some linear operators.
О.Д. Смирнова (1982)
Sibirskij matematiceskij zurnal
Cutting the loss of derivatives for solvability under condition
Nicolas Lerner (2006)
Bulletin de la Société Mathématique de France
For a principal type pseudodifferential operator, we prove that condition implies local solvability with a loss of 3/2 derivatives. We use many elements of Dencker’s paper on the proof of the Nirenberg-Treves conjecture and we provide some improvements of the key energy estimates which allows us to cut the loss of derivatives from for any (Dencker’s most recent result) to 3/2 (the present paper). It is already known that condition doesnotimply local solvability with a loss of 1 derivative,...