A generalization of the Carleson lemma and weighted norm inequalities for the maximal functions in the Orlicz setting
| Autor: | Benoît F. Sehba, Justin Feuto, J.M. Tanoh Dje |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Mathematics::Functional Analysis
Pure mathematics Applied Mathematics 010102 general mathematics Mathematics::Classical Analysis and ODEs Regular polygon 01 natural sciences 010101 applied mathematics Growth function Norm (mathematics) Embedding Maximal function 0101 mathematics Analysis Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 491:124248 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2020.124248 |
| Popis: | In this note we introduce the notion of Φ-Carleson sequence for Φ a convex growth function and provide an equivalent characterization that is an extension of the off-diagonal Carleson embedding lemma. We apply this result to obtain Sawyer-type characterization and two-weight norm estimates for some maximal functions between different Orlicz spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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