Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte
Relation between real and complex properties of the Laplace transform
Relations between weighted Orlicz and spaces through fractional integrals
We characterize the class of weights, invariant under dilations, for which a modified fractional integral operator maps weak weighted Orlicz spaces into appropriate weighted versions of the spaces , where . This generalizes known results about boundedness of from weak into Lipschitz spaces for and from weak into . It turns out that the class of weights corresponding to acting on weak for of lower type equal or greater than , is the same as the one solving the problem for weak...
Relative Inversion in der Störungstheorie von Operatoren und ...-Algebren.
Relativistic wave equations with fractional derivatives and pseudodifferential operators.
Remarks on the strong maximum principle for nonlocal operators.
Representation theorems of A. D. Alexandrov and A. A. Markov for dominated operators.
Reproduzierende Kerne, Fundamentalkerne und Resolventenkerne.
Resolventenkerne, Carleman-Operatoren in LP-Räumen und Hille-Tamarkin-Operatoren.
Riemann–Stieltjes operators between Bergman-type spaces and -Bloch spaces.
Riesz potential operators and inverses via fractional centred derivatives.
Riesz potentials associated with the composite power function on the space of rectangular matrices.
Riesz transforms and related singular integrals.
Schwartz kernel theorem in algebras of generalized functions
A new approach to the generalization of Schwartz’s kernel theorem to Colombeau algebras of generalized functions is given. It is based on linear maps from algebras of classical functions to algebras of generalized ones. In particular, this approach enables one to give a meaning to certain hypotheses in preceding similar work on this theorem. Results based on the properties of -generalized functions class are given. A straightforward relationship between the classical and the generalized versions...
Section and Projection Means of Convex Bodies.
Semilinear integro-differential equations with compact semigroups.
Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
In the context of the spaces of homogeneous type, given a family of operators that look like approximations of the identity, new sharp maximal functions are considered. We prove a good-λ inequality for Muckenhoupt weights, which leads to an analog of the Fefferman-Stein estimate for the classical sharp maximal function. As a consequence, we establish weighted norm estimates for certain singular integrals, defined on irregular domains, with Hörmander conditions replaced by some estimates which do...
Sharp weighted inequality for multilinear commutator of strongly singular integral operator
Singular integral operators with Cauchy kernel in fractional spaces.
Singular integrals on generalized Lipschitz and Hardy spaces