Cover Image

Singular Integral Operators in Spaces of Oscillating Functions on a Rectifiable Curve

We prove generalized Noether theorems for a singular integral equation with Cauchy kernel on a closed rectifiable Jordan curve in classes of piecewise-continuous functions with oscillation-type discontinuities. We obtain results concerning the normal solvability of operators associated with the equa...

Full description

Saved in:

Bibliographic Details
Date:	2003
Main Authors:	Plaksa, S. A., Плакса, С. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3993
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve
by: Plaksa, S. A., et al.
Published: (1993)

Piecewise-continuous Riemann boundary-value problem on a rectifiable curve
by: Vasileva, Yu. V., et al.
Published: (2006)

Riemann boundary-value problem on an open rectifiable Jordan curve. II
by: Kud'yavina, Yu. V., et al.
Published: (2010)

Riemann boundary-value problem on an open rectifiable jordan curve. I
by: Kud'yavina, Yu. V., et al.
Published: (2010)

Differentiation of Singular Integrals with Piecewise-Continuous Density and Boundary Values of Derivatives of a Cauchy-Type Integral
by: Plaksa, S. A., et al.
Published: (2005)

On stability of singular Cauchy integral with respect to perturbation of the curve of integration
by: O. S. Plaksa, et al.
Published: (2015)

On the composition of operators in vector spaces and their Noether property
by: Plaksa, S. A., et al.
Published: (1993)

On perturbation of semi-Noether operators in incomplete spaces. I
by: Plaksa, S. A., et al.
Published: (1993)

On perturbation of semi-Noether operators in incomplete spaces. II
by: Plaksa, S. A., et al.
Published: (1993)

Singular integral operator in spaces defined by a generalized oscillation
by: R. M. Rzaiev, et al.
Published: (2021)

Singular integral operator in spaces defined by a generalized oscillation
by: Rzaev, R. M., et al.
Published: (2021)

On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. I
by: Plaksa, S. A., et al.
Published: (2001)

On Integral Representations of an Axisymmetric Potential and the Stokes Flow Function in Domains of the Meridian Plane. II
by: Plaksa, S. A., et al.
Published: (2001)

Dirichlet Problem for the Stokes Flow Function in a Simply-Connected Domain of the Meridian Plane
by: Plaksa, S. A., et al.
Published: (2003)

On continuous extension to the boundary of a domain of the Cauchy-type integral with parameter-dependent density
by: Plaksa, S., et al.
Published: (2024)

On the Boundedness of Singular Integral Operators in Symmetric Spaces
by: Peleshenko, B. I., et al.
Published: (2000)

Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. II
by: Plaksa, S. A., et al.
Published: (2000)

Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane
by: Plaksa, S. A., et al.
Published: (2001)

Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I
by: Plaksa, S. A., et al.
Published: (2000)

Monogenic functions in a biharmonic algebra
by: Gryshchuk, S. V., et al.
Published: (2009)

Integral representations of generalized axially symmetric potentials in a simply connected domain
by: Gryshchuk, S. V., et al.
Published: (2009)

One Class of singular integral operators
by: Pavlov , E. A., et al.
Published: (1991)

Integrability, Quantization and Moduli Spaces of Curves
by: Rossi, P.
Published: (2017)

On singularities of the Galilean spherical darboux ruled surface of a space curve in G₃
by: Sahin, T., et al.
Published: (2010)

Constructive description of monogenic functions in a harmonic algebra of the third rank
by: Plaksa, S. A., et al.
Published: (2010)

Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication
by: S. A. Plaksa
Published: (2013)

On the Solution of the Exterior Dirichlet Problem for an Axisymmetric Potential
by: Plaksa, S. A., et al.
Published: (2002)

An analog of the Men’shov – Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra
by: Tkachuk, M. V., et al.
Published: (2021)

Reduction of the principal biharmonic problem for a quadrant to nonsingular integral equations
by: Mel'nichenko, I. P., et al.
Published: (1995)

On the Logarithmic Residues of Monogenic functions in a Three-Dimensional Harmonic Algebra with Two-Dimensional Radical
by: Plaksa, S. A., et al.
Published: (2013)

Boundedness of multilinear singular integral operators on the homogeneous Morrey–Herz spaces
by: Wu, Jianglong, et al.
Published: (2009)

Integrable Flows for Starlike Curves in Centroaffine Space
by: Calini, A., et al.
Published: (2013)

On Algebraically Integrable Differential Operators on an Elliptic Curve
by: Etingof, P., et al.
Published: (2011)

On singularities of the Galilean spherical darboux ruled surface of a space curve in $G_3$
by: Şahin, T., et al.
Published: (2010)

Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical
by: Plaksa, S. A., et al.
Published: (2013)

Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. II
by: Mel'nichenko, I. P., et al.
Published: (1996)

Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. I
by: Mel'nichenko, I. P., et al.
Published: (1996)

Biharmonic problem in an angle and monogenic functions
by: Gryshchuk, S. V., et al.
Published: (2026)

On the singularity of the liquid-gas coexistence curve diameter
by: O. Bakai, et al.
Published: (2020)

On the singularity of the liquid-gas coexistence curve diameter
by: O. Bakai, et al.
Published: (2020)