Image of under the Hermite semigroup.
Images of some functions and functional spaces under the Dunkl-Hermite semigroup
We propose the study of some questions related to the Dunkl-Hermite semigroup. Essentially, we characterize the images of the Dunkl-Hermite-Sobolev space, and , , under the Dunkl-Hermite semigroup. Also, we consider the image of the space of tempered distributions and we give Paley-Wiener type theorems for the transforms given by the Dunkl-Hermite semigroup.
Improved Muckenhoupt-Wheeden inequality and weighted inequalities for potential operators.
By a variant of the standard good λ inequality, we prove the Muckenhoupt-Wheeden inequality for measures which are not necessarily in the Muckenhoupt class. Moreover we can deal with a general potential operator, and consequently we obtain a suitable approach to the two weight inequality for such an operator when one of the weight functions satisfies a reverse doubling condition.
Individual boundedness condition for positive definite sesquilinear form valued kernels
Inégalités à poids pour le projecteur de Bergman dans la boule unité de
Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
The paper deals with covering problems and the degree of compactness of operators. The main part is devoted to relationships between entropy moduli and Kolmogorov (resp. Gelfand and approximation) numbers for operators which may be interpreted as counterparts to the classical Bernstein-Jackson inequalities for functions. Certain quantifications of results in the Riesz-Schauder-Theory are given. Finally, the largest distance between “the degree of approximation” and the “degree of compactness” of...
Integración bilineal bornológica.
Integral and pseudointegral operators.
Integral representations and transforms of -functions. I.
Integral representations and transforms of -functions. II.
Integral representations of resolvents and semigroups.
Integral representations of unbounded operators by infinitely smooth kernels
In this paper, we prove that every unbounded linear operator satisfying the Korotkov-Weidmann characterization is unitarily equivalent to an integral operator in L 2(R), with a bounded and infinitely smooth Carleman kernel. The established unitary equivalence is implemented by explicitly definable unitary operators.
Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains.
Integral transforms of vector measures on semigroups with applications to spectral operators.
Integraldarstellung regulärer Operatoren auf Banachverbänden.
Intégrales singulières, opérateurs multilinéaires et équations aux dérivées partielles
Integral-type operators from a mixed norm space to a Bloch-type space on the unit ball.
Integration of vector-valued functions with respect to an operator-valued measure
Integration Operators on Bergman Spaces with exponential weight.
Interpolation by multipliers on certain spaces of analytic functions.