Rate of convergence on the mixed summation integral type operators.
Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems
Realization theory for linear input-output operators and frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in a Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in a weighted Sobolev space, which has the same stability properties as the Volterra equation.
Reduction of operator families to integral form.
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...
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.