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- VOLUME 1, 2010 NUMBER 1
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VOLUME 1, 2010 NUMBER 1
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Recent Submissions
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(2012-06-26)In this paper estimates of the error of a eubature formula in Besov classes are obtained. The method of research is essentially based on the choice of a Lizorkin system.
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(2012-06-26)We studv the Sturm-Liouville operator Ly = l(y) = + q(x)y with ax2 Diriehlet boundary conditions y(0) = y(n) = 0 in the space L2[0,n], We assume that the potential has the form q(x) = u'(x), where u G W|[0,n] with 0 < в ...
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(2012-06-26)The paper contains the description of the theory of approximate calculation of integrals over arbitrary multi-dimensional domains. This research branch is developed in several research centers in Russia and, in particular, ...
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(2012-06-26)We consider a spectral stability estimate by Burenkov and Lamberti concerning the variation of the eigenvalues of second order uniformly elliptic operators on variable open sets in the N-dimensional euclidean space, and ...
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(2012-06-26)Various type weighted norm estimates for one-sided maximal functions and potentials are established in variable exponent Lebesgue spaces Lp('\ In particular, sufficient conditions (in some cases necessary and sufficient ...
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(2012-06-26)A linear differential operator P(D) with constant coefficients is called almost hypoelliptic if all derivatives P) of the characteristic polvnomial P(£) can be estimated above via P(£). In this paper it is proved that all ...
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(2012-06-26)The problem of the boundedness of a Calderon-Zygmund singular integral operator T in local Morrev-tvpe spaces is reduced to the boundedness of the Hardy operator in weighted Lp-spaces on the cone of non-negative non-increasing
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(2012-06-26)The harmonic Green and Neumann functions are constructed for a particular triangle in the complex plane, which by reflections across its sides provides a triangulation of the plane.
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(2012-06-26)In this paper the class of stochastic processes Np,q(F) is introduced and an interpolation theorem for a quasilinear transform is proved. This theorem is a generalization of the Marcinkiewicz interpolation theorem.