Multi-Parameter Maximal Operators Associated with Finite Measures and Arbitrary Sets of Parameters
| Autor: | Yaryong Heo |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Class (set theory)
Pure mathematics Work (thermodynamics) Algebra and Number Theory 010102 general mathematics Microlocal analysis Spectral theorem Operator theory 01 natural sciences Fourier integral operator 010101 applied mathematics symbols.namesake Fourier transform symbols 0101 mathematics Algorithm Multi parameter Analysis Mathematics |
| Zdroj: | Integral Equations and Operator Theory. 86:185-208 |
| ISSN: | 1420-8989 0378-620X |
| DOI: | 10.1007/s00020-016-2328-8 |
| Popis: | In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the \(L^p\)-boundedness properties of the multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters by assuming some Fourier decay and a certain geometric condition. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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