Maximal operator for pseudo-differential operators with homogeneous symbols

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dc.creatorSawano, Yoshihiro
dc.date2008-09-13
dc.date.accessioned2026-07-07T10:02:44Z
dc.date.available2026-07-07T10:02:44Z
dc.descriptionThe aim of the present paper is to obtain a Sjölin-type maximal estimate for pseudo-differential operators with homogeneous symbols. The crux of the proof is to obtain a phase decomposition formula which does not involve the time traslation. The proof is somehow parallel to the paper by Pramanik and Terwilleger (P. Malabika and E. Terwilleger, A weak $L^2$ estimate for a maximal dyadic sum operator on $R^n$, Illinois J. Math, {\bf 47} (2003), no. 3, 775--813). In the present paper, we mainly concentrate on our new phase decomposition formula and the results in the Cotlar type estimate, which are different from the ones by Pramanik and Terwilleger.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0809.2313
dc.identifierhttp://arxiv.org/abs/0809.2313
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169080
dc.subjectFunctional Analysis
dc.subject42B10 47B38
dc.titleMaximal operator for pseudo-differential operators with homogeneous symbols
dc.typetext

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