Журнал математической физики, анализа, геометрии, 2009, № 2

Алексей Васильевич Погорелов

Thu, 01 Jan 2009 00:00:00 GMT

Алексей Васильевич Погорелов 3 марта 2009 года исполнилось 90 лет со дня рождения академика Алексея Васильевича Погорелова - выдающегося математика XX века. Научная общественность Харькова широк отметила это событие.

The Hardy-Littlewood Theorem and the Operator of Harmonic Conjugate in Some Classes of Simply Connected Domains with Rectifiable Boundary

Thu, 01 Jan 2009 00:00:00 GMT

The Hardy-Littlewood Theorem and the Operator of Harmonic Conjugate in Some Classes of Simply Connected Domains with Rectifiable Boundary Tkachenko, N.M.; Shamoyan, F.A. The analogue of known theorem Hardy-Littlewood about Lp-estimations of derivative analytical function through norm to the function, also are proved Lp-weight estimations the operator of harmonic conjugate in some classes of simply connected domains with rectifiable boundary for all 0 < p < +∞.

Parabolic Foliations on Three-Manifolds

Thu, 01 Jan 2009 00:00:00 GMT

Parabolic Foliations on Three-Manifolds Krouglov, V. We prove that every closed orientable three-manifold admits a parabolic foliation.

On the Spectrum of Riemannian Manifolds with Attached Thin Handles

Thu, 01 Jan 2009 00:00:00 GMT

On the Spectrum of Riemannian Manifolds with Attached Thin Handles Khrabustovskyi, A. The behavior as ε → 0 of the spectrum of the Laplace Beltrami operator Δε is studied on Rieinannian manifolds depending on a small parameter ε . They consist of a fixed compact manifold with attached handles whose radii tend to zero as ε → 0. We consider two cases: when the number of the handles is fixed and their lengthes are also fixed and when the number of the handles tend to infinity and their lengthes tend to zero as ε → 0 . For these cases we obtain the operators whose spectrum attracts the spectrum of Δε as ε → 0 .