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Littlewood–Paley Operators on the Generalized Lipschitz Spaces
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Shanzhen Lu
Published/Copyright:
February 23, 2010
Abstract
Littlewood–Paley operators defined on a new kind of generalized Lipschitz spaces 
are studied. It is proved that the image of a function under the action of these operators is either equal to infinity almost everywhere or is in , where –n < α < 1 and 1 < p < ∞.
Key words and phrases.: Littlewood–Paley functions; generalized Lipschitz spaces; Poisson integral; Poisson kernel
Received: 1994-05-04
Published Online: 2010-02-23
Published in Print: 1996-February
© 1996 Plenum Publishing Corporation
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- 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
Keywords for this article
Littlewood–Paley functions;
generalized Lipschitz spaces;
Poisson integral;
Poisson kernel
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
