|Analysis Seminar in Crete (2020-21)|
Analysis Seminars in the World / Analysis seminars in Greece
|10/13/2020||11:00||A303||Giorgos Psaromilingos||Michigan State University||Two-weight Carleson embeddings on multi-trees|
We prove a two weight multi-parameter dyadic embedding theorem for the Hardy operator on multi-trees. The main result is known in the case n=1 and here we prove it for n=2,3. Strikingly, the ''Box'' condition we impose is much weaker than the Chang–Fefferman one, given the well-known Carleson quilt counterexample. However, this is not contradictory to our work, as we impose different restrictions on the weights. An application of this is the embedding theorem of Dirichlet space of holomorphic functions on the polydisc, which appears in the work of Arcozzi, Mozolyako, Perfekt and Sarfati.>/p>
This is joint work with N. Arcozzi, P. Mozolyako, A. Volberg and P. Zorin-Kranich.
|7/20/2021||11:00||A214||Mate Matolcsi||Renyi Institute and BME (Budapest)||Tiling and weak tiling|
|Abstract: We say that a set $A$ tiles another set $B$ weakly if there exists a measure \mu such that the indicator function of $A$ convolved with $\mu$ gives the indicator function of $B$. In a recent joint work with Nir Lev we proved that if a set $A$ is spectral in a group $G$ then $A$ tiles its complement $A^c$ weakly. Therefore, the following question arises naturally: if a set $A$ tiles $A^c$ weakly, under what circumstances can we conclude that $A$ tiles $A^c$ properly?|
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