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CATEGORIES:Analysis Reading Seminar
SUMMARY:Sparse domination via sizes and outer measures - G
ianmarco Brocchi
DTSTART:20181205T093000Z
DTEND:20181205T110000Z
UID:TALK3466AT
URL:/talk/index/3466
DESCRIPTION:The aim of this talk is to discuss a *sparse domin
ation* for a martingale transform in the language
of _outer_ L^p spaces.\n\nWe start by briefly rec
alling the definition and the basic properties of
these spaces (see Do\,Thiele [arxiv:1309.0945]).\n
\nAs an application\, we show classic L^p bounds f
or the martingale transform. The (short) proof in
this contest boils down to an application of HÃ¶lde
r's inequality and embedding maps for the given si
ze. \n\nFinally\, we introduce *sparse forms* in t
he language of outer L^p spaces. We then discuss t
he domination of the martingale transform by a spa
rse form.
LOCATION:STRA-LT2 (G17)
CONTACT:Gianmarco Brocchi
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