Scheduled talks for Analysis Seminar - Spring 2012

See the departmental seminar calendar for additional information.

The seminar meets at 3 pm on Mondays in Kassar 105 unless
otherwise indicated.

Jan. 25         Organizational Meeting

Jan. 30         No seminar

Feb. 6          Sergei Treil (Brown U.)
        Mixed maximal-square functions and multi-parameter H^1 via iteration
        in parameters

Abstract: We were all taught that the multi-parameter H^p theory
cannot be obtained by iterating one-parameter results.  The famous
Carleson counterexample shows that iterated Carleson measure condition
is not sufficient for the embedding theorem in several variables, the
multi-parameter BMO cannot be treated as BMO with values in BMO, etc.

However, the iteration in parameters work, when one is working "on the
H^1 side".  I'll give an illustration of this principle by obtaining
from the equivalence of definitions of H^1 via the square function and
via the maximal function the corresponding multi-parameter result.

The proof is very easy, and does not require complicated estimates and
constructions usually associated with multi-parameter theory.  As a
corollary of the method we also get a definition of multi-parameter H^1
via mixed "maximal-square" functions.

Feb. 13         No seminar

Feb. 20         Bruce Levin (Emory U.)
        Ecology and evolution of competition, predation, mutation, and the
        epidemiology of HIV/AIDS and antibiotic resistance (contributions by
        Frank Stewart)

Feb. 27         Katharine Ott (U. Kentucky)

Mar. 5          John Anderson (Holy Cross)

Mar. 12         Ariel Barton (U. Minnesota)

Mar. 19         Martin Dindos (U. of Edinburgh)

Mar. 26         No seminar (Spring Recess)

Apr. 2          Armen Vagharshakyan (Brown U.)