On an integral-type operator from Zygmund-type spaces to mixed-norm spaces on the unit ball.
On Bergman operators of exponential type
On Continuity of Singular Integral Operators in Sobolev Spaces.
On convolution operators in the spaces of almost periodic functions and spaces.
On demicontinuity and hemicontinuity of nonlinear integral operators
On essential norm of the Neumann operator
One of the classical methods of solving the Dirichlet problem and the Neumann problem in is the method of integral equations. If we wish to use the Fredholm-Radon theory to solve the problem, it is useful to estimate the essential norm of the Neumann operator with respect to a norm on the space of continuous functions on the boundary of the domain investigated, where this norm is equivalent to the maximum norm. It is shown in the paper that under a deformation of the domain investigated by a diffeomorphism,...
On Function Spaces of Variable Order of Differentiation.
On global approximation properties of abstract integral operators in Orlicz spaces and applications.
On integral operators with operator-valued kernels.
On Integral Representations and a priori Lipschitz Estimates for the Canonical Solution of the ...-Equation.
On limits of -norms of an integral operator
A recurrence relation for the computation of the -norms of an Hermitian Fredholm integral operator is derived and an expression giving approximately the number of eigenvalues which in absolute value are equal to the spectral radius is determined. Using the -norms for the approximation of the spectral radius of this operator an a priori and an a posteriori bound for the error are obtained. Some properties of the a posteriori bound are discussed.
On Mikusinski's perators of fractional integration
On Multi-Dimensional Random Walk Models Approximating Symmetric Space-Fractional Diffusion Processes
Mathematics Subject Classification: 26A33, 47B06, 47G30, 60G50, 60G52, 60G60.In this paper the multi-dimensional analog of the Gillis-Weiss random walk model is studied. The convergence of this random walk to a fractional diffusion process governed by a symmetric operator defined as a hypersingular integral or the inverse of the Riesz potential in the sense of distributions is proved.* Supported by German Academic Exchange Service (DAAD).
On multilinear singular integrals of Calderón-Zygmund type.
A variety of results regarding multilinear singular Calderón-Zygmund integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators. A maximal...
On nonintegrality of functions of some integral and partially integral operators.
On one class of operators associated with differential equations of fractional order.
On operators induced by weakly 2-singular kernels
On oscillatory integral operators with folding canonical relations
Sharp estimates are proven for oscillatory integrals with phase functions Φ(x,y), (x,y) ∈ X × Y, under the assumption that the canonical relation projects to T*X and T*Y with fold singularities.
On Pseudo-Differential Operators and Smoothness of Special Lie-Group Representations.
On random evolutions induced by countable state space Markov chains