Évènement

Pavel Mozolyako
Saint Petersburg State University, Russia
https://www.researchgate.net/scientific-contributions/Pavel-Mozolyako-2078767050

Date(s) : 09/04/2018   iCal
10h00 - 11h00

The Dirichlet space on the polydisc D^d,d≥1, consists of analytic functions satisfying . In the one-dimensional case (d=1) the Carleson measures were first described by Stegenga (’80) in terms 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 trace measures for the Hardy operator on the polytree T^d. 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 sense of Stegenga). We also discuss some arising combinatorial problems. This talk is based on joint work with N. Arcozzi, K.-M. Perfekt, G. Sarfatti.

Slides: http://www.math.stonybrook.edu/~dimitriosnt/caft2018/slides/Mozolyako.pdf

Catégories

• Séminaire