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On the structure of the solution of singularly perturbed initial boundary value problems with an unbounded spectrum of the limit operatorSingularly perturbed initial boundary value problems are studied for some classes of linear systems

Cauchy integral and singular integral operator over closed Jordan curves the boundedness of the singular integral operator as well as the boundary behavior of the Cauchy type integral

Cauchy integral and singular integral operator over closed Jordan curves the regularity conditions on a Jordan curve in the plane that imply the boundedness of the singular integral

Unique solvability of singularly perturbed boundary-value problems with unstable spectrum of the limit operator in the case of a limit operator with unstable spectrum. The main singularities of the solution are described

Geometric maximizers of Schatten norms of some convolution type integral operators integral operators with non-increasing kernels among all domains of a given measure in Rd. We also show

Fractional weighted spherical mean and maximal inequality for the weighted spherical mean and its application to singular PDE the bulk with the boundary of a region on which differential Bessel operators act

Cauchy integral and singular integral operator over closed Jordan curves the regularity conditions on a Jordan curve in the plane that imply the boundedness of the singular integral

Cauchy integral and singular integral operator over closed Jordan curves the boundedness of the singular integral operator as well as the boundary behavior of the Cauchy type integral

On Maximal Operators Associated with a Family of Singular SurfacesMaximal operator associated with singular surfaces is considered in this paper. The boundedness

Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II of the maximal operator, fractional maximal operator, Riesz potential, singular integral operator, Hardy operator

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