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UID:7332@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180409T100000
DTEND;TZID=Europe/Paris:20180409T110000
DTSTAMP:20241120T203914Z
URL:https://www.i2m.univ-amu.fr/evenements/carleson-measures-for-the-diric
 hlet-space-on-the-polydisc/
SUMMARY:Pavel Mozolyako (Saint Petersburg State University\, Russia): Carle
 son measures for the Dirichlet space on the polydisc
DESCRIPTION:Pavel Mozolyako: The Dirichlet space on the polydisc Dd\,d≥1\
 , consists of analytic functions satisfying . In the one-dimensional case 
 (d=1) the Carleson measures were first described by Stegenga (’80) in te
 rms of capacity\, further development was achieved in papers by Arcozzi\, 
 Rochberg\, Sawyer\, Wick and others. Following Arcozzi et al. we consider 
 the equivalent problem in the discrete setting — characterization of tra
 ce measures for the Hardy operator on the polytree Td. For d=2 we present 
 a description of such measures in terms of bilogarithmic capacity (which\,
  in turn\, gives the description of Carleson measures for (D2) in the sens
 e of Stegenga). We also discuss some arising combinatorial problems. This 
 talk is based on joint work with N. Arcozzi\, K.-M. Perfekt\, G. Sarfatti.
  \nSlides: http://www.math.stonybrook.edu/~dimitriosnt/caft2018/slides/Moz
 olyako.pdf\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Pavel_Mozolyako.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20180325T030000
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