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On the Rearranged Block-Orthonormal Systems
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G. Nadibaidze
Published/Copyright:
February 18, 2010
Abstract
A condition is established for the sequence {Nk} when there exists a rearrangement of functions of the block-orthonormal system {φn} such that the sequence {log2n} ({(log log n)2}) is a Weyl multiplier for the convergence (for the summability by the methods (C, α) (α > 0)) almost everywhere of series with respect to the rearranged system {φνn}.
Key words and phrases.: Block-orthonormal systems; series with respect to block-orthonormal systems; Weyl multipliers; rearranged block-orthonormal systems
Received: 1998-12-09
Published Online: 2010-02-18
Published in Print: 2000-March
© Heldermann Verlag
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Keywords for this article
Block-orthonormal systems;
series with respect to block-orthonormal systems;
Weyl multipliers;
rearranged block-orthonormal systems
Articles in the same Issue
- On Fourier Coefficients of Functions of Generalized Wiener Class
- Asymptotic Distribution of Eigenelements of the Basic Two-Dimensional Boundary-Contact Problems of Oscillation in Classical and Couple-Stress Theories of Elasticity
- New Proofs of Two-Weight Norm Inequalities for the Maximal Operator
- Convergent Rearrangements of Series of Vector-Valued Functions
- On the Convergence and Summability of N-Dimensional Fourier Series with Respect to the Walsh–Paley Systems in the Spaces LP([0, 1]N), p ∈ [1, + ∞]
- A Direct Boundary Integral Method for a Mobility Problem
- Unconditional Convergence of Random Series and the Geometry of Banach Spaces
- Quasi-Linearisation Methods for a Non-Linear Heat Equation with Functional Dependence
- On State Space Representations of AR-Models
- On a Nonlocal Boundary Value Problem for Second Order Nonlinear Singular Differential Equations
- On the Ito formula in a Banach Space
- On the Rearranged Block-Orthonormal Systems
- Classification of Singularities at Infinity of Polynomials of Degree 4 in Two Variables
- Qualitative Investigation of Two-Dimensional Chua's System
