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On Some (Hp,q, Lp,q)-Type Maximal Inequalities with Respect to the Walsh–Paley System
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U. Goginava
Published/Copyright:
February 23, 2010
Abstract
The boundedness of Cesáro maximal operators for multiple Walsh–Fourier series is studied from the martingale Hardy–Lorentz space Hpq into the Lorentz space Lpq. Supremum in the maximal operators is taken over a positive cone.
Received: 1998-10-30
Revised: 2000-07-17
Published Online: 2010-02-23
Published in Print: 2000-September
© Heldermann Verlag
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Articles in the same Issue
- Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients
- On One Class of Spatial Nonlocal Problems for Some Hyperbolic Equations
- The Basic Mixed Plane Boundary Value Problem of Statics in the Elastic Mixture Theory
- Boundary Problems of Thermopiezoelectricity in Domains with Cuspidal Edges
- Colimits in the Crossed Modules Category in Lie Algebras
- On Some (Hp,q, Lp,q)-Type Maximal Inequalities with Respect to the Walsh–Paley System
- Upper and Lower Solutions of Boundary Value Problems for Functional Differential Equations and Theorems on Functional Differential Inequalities
- Boundary Value Problems of Bending of A Plate for an Infinite Doubly-Connected Domain Bounded by Broken Lines
- Some Fixed Point Theorems in Metrically Convex Spaces
- Weak Type Maximal Inequality and the Rate of Growth of Integral Means
- On the Number of Representations of Positive Integers by Some Quadratic Forms in Fourteen Variables
- On the (C, –1 < α < 0)-Summability of Series with Respect to Block-Orthonormal Systems
- Oscillation of the Riemann–Weber Version of Euler Differential Equations with Delay
- Upper and Lower Solutions Method for A System of Higher Order Difference Equations
