Representation theorems of A. D. Alexandrov and A. A. Markov for dominated operators.
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.
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 supported on the image of an analytic function.
Sobre operadores de integración fraccional y algoritmos computacionales
Solution of some weight problems for the Riemann-Liouville and Weyl operators.
Some Estimates of the Remainder in the Expressions for the Eigenvalue Asymptotics of Some Singular Integral Operators
Some generalization of weighted norm inequalities for certain class of integral operators
Spectral Properties of the Cauchy Operator and the Operator of Logarithmic Potential Type on L2 Space With Radial Weight
Strong and weak stability of some Markov operators
An integral Markov operator appearing in biomathematics is investigated. This operator acts on the space of probabilistic Borel measures. Let and be probabilistic Borel measures. Sufficient conditions for weak and strong convergence of the sequence to are given.
Sufficient conditions for boundedness of convolution operators in rearrangement-invariant spaces.
Sufficient conditions for univalence of an integral operator defined by Al-Oboudi differential operator.
Teoria dei fasci e trasformazioni integrali per -moduli tra varietà di Grassmann