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Almost Everywhere Convergence of (đ¶, α)-Means of Quadratical Partial Sums of Double VilenkinâFourier Series
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Veröffentlicht/Copyright:
10. MĂ€rz 2010
Abstract
We prove that the maximal operator of the (đ¶, α)-means of quadratical partial sums of double VilenkinâFourier series is of weak type (1,1). Moreover, the (đ¶, α)-means
of a function đ â đż1 converge a.e. to đ as đ â â.
Received: 2005-10-11
Published Online: 2010-03-10
Published in Print: 2006-September
© Heldermann Verlag
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Artikel in diesem Heft
- Global Existence and Energy Decay of Solutions to a Petrovsky Equation with General Nonlinear Dissipation and Source Term
- Curves with Two Pencils and Associated Maps to Projective Spaces
- The Second Obstruction Functor
- Ground State Solutions of Nonlinear Stationary Schrödinger Systems with Discontinuous Nonlinearity and Variable Potential
- Almost Everywhere Convergence of (đ¶, α)-Means of Quadratical Partial Sums of Double VilenkinâFourier Series
- On the Convergence of Conjugate Trigonometric Polynomials
- Existence of Solutions for Fourth Order Nonlocal Boundary Value Problems
- New Proof of the đ(1) Theorem for TriebelâLizorkin Spaces
- Inversion of Ahlfors and Grunsky Inequalities
- On Non-Compact Operators in Weighted Ideal and Symmetric Function Spaces
- Computing Characteristic Sets of Ordinary Radical Differential Ideals
- Approximating Common Fixed Points of Nonexpansive Mappings in Banach Spaces
- On Systems of Linear Functional Differential Inequalities
- The Dirichlet Problem for a Second Order Elliptic Equation Degenerating on the Whole Boundary When the Boundary Condition Is Satisfied in the Presence of Some Weight
- Fourier Series with Small Gaps
- Oscillations of Higher Order Functional Differential Equations with Impulses