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Vladimir D. Stepanov

Russian Academy

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Publicacions Matematiques | 1998

On the Hardy-type integral operators in Banach function spaces

Elena Lomakina; Vladimir D. Stepanov

Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.

Siberian Mathematical Journal | 1989

Weighted inequalities of Hardy type

E. N. Batuev; Vladimir D. Stepanov

As an application of the statements regarding the Steklov operators, we give an a priori estimate in weighted norms (necessary and sufficient conditions) of the solution of the Cauchy problem for the wave equation. i. norm Hardys Inequalities Let I ~p ~ ~, v(x)~O, let Lp,v be the weighted Lebesgue space of functions with finite

Journal of The London Mathematical Society-second Series | 1996

The Weighted Hardy Inequality: New Proofs and the Case p = 1

Gord Sinnamon; Vladimir D. Stepanov

Journal of The London Mathematical Society-second Series | 1994

Weighted Norm Inequalities of Hardy Type for a Class of Integral Operators

Vladimir D. Stepanov

Journal of The London Mathematical Society-second Series | 1993

Integral Operators on the Cone of Monotone Functions

Vladimir D. Stepanov

Journal of The London Mathematical Society-second Series | 1992

Weighted Inequalities for a Class of Volterra Convolution Operators

Vladimir D. Stepanov

Mathematics of The Ussr-izvestiya | 1991

TWO-WEIGHTED ESTIMATES OF RIEMANN-LIOUVILLE INTEGRALS

Vladimir D. Stepanov

Journal of The London Mathematical Society-second Series | 2000

ON THE LOWER BOUNDS FOR SCHATTEN–VON NEUMANN NORMS OF CERTAIN VOLTERRA INTEGRAL OPERATORS

Vladimir D. Stepanov

Bulletin of The London Mathematical Society | 1994

On the Discrete Hardy Inequality

Michael Braverman; Vladimir D. Stepanov

Siberian Mathematical Journal | 1988

Weighted Hardy inequality

Vladimir D. Stepanov

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Michael Braverman

Ben-Gurion University of the Negev

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Gord Sinnamon

University of Western Ontario

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