On the consequences of a Mihlin-H��rmander functional calculus: maximal and square function estimates
| Autor: | Wr��bel, B��a��ej |
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| Rok vydání: | 2015 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1507.08114 |
| Popis: | We prove that the existence of a Mihlin-H��rmander functional calculus for an operator $L$ implies the boundedness on $L^p$ of both the maximal operators and the continuous square functions build on spectral multipliers of $L.$ The considered multiplier functions are finitely smooth and satisfy an integral condition at infinity. In particular multipliers of compact support are admitted. |
| Databáze: | OpenAIRE |
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