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Maximal Functions and H(p) Spaces Defined by Ergodic Transformations
Suppose an ergodic flow acts on a probability space enabling us to introduce the Ergodic Hilbert transform f̃ of f ∈ L(p)( ), 1 ≦ p ≦ ∞. H(1) is the class of all functions of the form f + if̃ ∈ L(1)( ). We show that H(1) can be characterized in terms of a class of maximal functions; moreover, the...
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| Main Authors: | , |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado: |
1973
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| Assuntos: | |
| Acceso en liña: | https://ncbi.nlm.nih.gov/pmc/articles/PMC433590/ https://ncbi.nlm.nih.gov/pubmed/16592093 |
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