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On Strong Maximal Operators Corresponding to Different Frames
-
G. Oniani
Published/Copyright:
February 23, 2010
Abstract
The problem is posed and solved whether the conditions 
and supθ∈[0,π/2) ∫{M2, θ(ƒ) > 1}M2, θ(ƒ) < ∞ are equivalent for functions 
(where M2, θ denotes the strong maximal operator corresponding to the frame {OXθ, OYθ}).
The results obtained represent a general solution of M. de Guzmán's problem that was previously studied by various authors.
Key words and phrases.: Strong maximal operators; different frames; regularity factor of a rectangle
Received: 1994-05-23
Published Online: 2010-02-23
Published in Print: 1996-February
© 1996 Plenum Publishing Corporation
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- Partial Averaging for Impulsive Differential Equations with Supremum
- An Algebraic Model of Fibration with the Fiber K(π, n)-Space
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- Littlewood–Paley Operators on the Generalized Lipschitz Spaces
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Keywords for this article
Strong maximal operators;
different frames;
regularity factor of a rectangle
Articles in the same Issue
- Commutativity for a Certain Class of Rings
- Partial Averaging for Impulsive Differential Equations with Supremum
- An Algebraic Model of Fibration with the Fiber K(π, n)-Space
- On the Uniqueness of Maximal Functions
- On the Solvability of a Darboux Type Non-Characteristic Spatial Problem for the Wave Equation
- Littlewood–Paley Operators on the Generalized Lipschitz Spaces
- On Strong Maximal Operators Corresponding to Different Frames
- Complexity of the Decidability of One Class of Formulas in Quantifier-Free Set Theory with a Set-Union Operator
