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Equivalent expressions for norms in classical Lorentz spaces
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Santiago Boza
Published/Copyright:
July 27, 2005
Abstract
We characterize the weights w such that
∫0∞ƒ*(s)pw(s) ds≃ ∫0∞ (ƒ**(s) – ƒ*(s))pw(s) ds.
Our result generalizes a result due to Bennett–De Vore–Sharpley, where the usual Lorentz Lp,q norm is replaced by an equivalent expression involving the functional ƒ ** – ƒ *. Sufficient conditions for the boundedness of maximal Calderón–Zygmund singular integral operators between classical Lorentz spaces are also given.
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Published Online: 2005-07-27
Published in Print: 2005-05-25
© de Gruyter
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Articles in the same Issue
- Feller-type properties and path regularities of Markov processes
- Equivalent expressions for norms in classical Lorentz spaces
- Modular arithmetic of free subgroups
- Complete polynomial vector fields in two complex variables
- 3-dimensional Bol loops as sections in non-solvable Lie groups
- Sharp conditions for weighted Sobolev interpolation inequalities
- Fixed points of pro-tori in cohomology spheres
- Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions
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