Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
On the Absolute Summability of Series with Respect to Block-Orthonormal Systems
-
G. Nadibaidze
Veröffentlicht/Copyright:
24. Februar 2010
Abstract
Theorems determining Weyl's multipliers for the summability almost everywhere by the |c, 1| method of the series with respect to block-orthonormal systems are proved. In particular, it is stated that if the sequence {ω(n)} is the Weyl multiplier for the summability almost everywhere by the |c, 1| method of all orthogonal series, then there exists a sequence {Nk} such that {ω(n)} will be the Weyl multiplier for the summability almost everywhere by the |c, 1| method of all series with respect to the Δk-orthonormal systems.
Key words and phrases.: Block-orthonormal systems; Weyl multiplier; series with respect to block-orthonormal systems; summability almost everywhere by the |c, 1| method
Received: 1997-05-15
Published Online: 2010-02-24
Published in Print: 1999-February
© 1999 Plenum Publishing Corporation
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Application of Analogues of General Kolosov–Muskhelishvili Representations in the Theory of Elastic Mixtures
- A Radial Derivative with Boundary Values of the Spherical Poisson Integral
- Tensor Products of Non-Archimedean Weighted Spaces of Continuous Functions
- On Periodic Solutions of Nonlinear Functional Differential Equations
- Two-Weighted Inequalities for Integral Operators in Lorentz Spaces Defined on Homogeneous Groups
- On the Absolute Summability of Series with Respect to Block-Orthonormal Systems
- Weakly Periodic Sequences of Bounded Linear Transformations: A Spectral Characterization
Schlagwörter für diesen Artikel
Block-orthonormal systems;
Weyl multiplier;
series with respect to block-orthonormal systems;
summability almost everywhere by the |c, 1| method
Artikel in diesem Heft
- Application of Analogues of General Kolosov–Muskhelishvili Representations in the Theory of Elastic Mixtures
- A Radial Derivative with Boundary Values of the Spherical Poisson Integral
- Tensor Products of Non-Archimedean Weighted Spaces of Continuous Functions
- On Periodic Solutions of Nonlinear Functional Differential Equations
- Two-Weighted Inequalities for Integral Operators in Lorentz Spaces Defined on Homogeneous Groups
- On the Absolute Summability of Series with Respect to Block-Orthonormal Systems
- Weakly Periodic Sequences of Bounded Linear Transformations: A Spectral Characterization
