Functional Analysis Seminar

Tue, 15/11/2011
17:00
Jani Virtanen (Bristol) Functional Analysis Seminar Add to calendar L3
I will briefly discuss boundedness and compactness of Toeplitz operators on Bergman spaces and then describe their essential spectra for several symbol classes (e.g., the Douglas algebra, VMO and BMO type spaces, matrix-valued symbols). I will also list some open problems related to boundedness, compactness and Fredholmness.
Tue, 29/11/2011
17:00
Elena Ushakova (York) Functional Analysis Seminar Add to calendar L3
The talk presents a collection of results about mapping properties of the Hardy-Steklov operator $ (Hf)(x)=\int_{a(x)}^{b(x)} f(y) dy $ in weighted Lebesgue spaces on the semi-axis. In particular, the explicit boundedness and compactness criteria for the operator are given and a number of applications are obtained. A part of the results is based on a joint paper with Prof. V.D. Stepanov
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