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On the index of nonlocal elliptic operators corresponding to a nonisometric diffeomorphismWe consider nonlocal elliptic operators corresponding to diffeomorphisms of smooth closed manifolds
On boundedness of certain integral operatorsWe study mapping properties of two-dimensional linear integral operators in some weighted spaces
Kernel operators with variable intervals of integration in lebesgue spaces and applicationsNew criteria of Lp - Lq boundedness of Hardy-Steklov type operator (1.1) with both increasing on (0
Reduction theorems for weighted integral inequalities on the cone of monotone functions operators in weighted Lebesgue spaces on the real semi-axis and valid on the cone of monotone functions
On associate spaces of weighted Sobolev space on the real linePrecise descriptions of the spaces associated with weighted Sobolev spaces on the real line
ON A PROPERTY OF OPERATORS COMMUTING WITH A SHIFT OPERATOR IN GLOBAL MORREY-TYPE SPACES into generalized Morrey-type spaces. For operators commuting with a shift operator the results are extended
On a supremum operatorFor a supremum operator on the semi-axis with a measurable non-negative function φ(x, y
Hausdorff operator in Lebesgue spacesWe study the boundedness of the Hausdorff operator in various types of Lebesgue spaces, e
Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator-dimensional rectangular Hardy operator on weighted Lebesgue spaces on $\mathbb{R}_+^2$.
On boundedness and compactness of Riemann-Liouville fractional operatorsLet α ∈ (0, 1). Consider the Riemann-Liouville fractional operator of the form with locally
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