Michal Wojciechowski: Nonexistence of Henkin type projections via a new property of multipliers

V torek, 24. marca ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predaval prof. Michal Wojciechowski z Matematicnega instituta Poljske akademije znanosti (IMPAN),Varsava.

Title: Nonexistence of Henkin type projections via a new property of multipliers.

Abstract: Let d \geq 2, l \geq 0 and suppose X is one of the function spaces W^{l,1}(T^d), W^{l,\infty}(T^d) or C^l(T^d). We extend a result of Henkin (1967), by showing that, for appropriate N-by-N matrix operators A(D) the subspace of X^N consisting of A(D) free elements is uncomplemented. In order to prove this we establish a new property of the Fourier multipliers that are bounded on X: the kernel k of any such multiplier obeys a weaker version of Wiener’s theorem for the singularities of measures. Joint work with Eduard Curca.

Predavanje bo potekalo hibridno, v predavalnici 3.05 na Jadranski 21 in preko aplikacije Zoom:

https://uni-lj-si.zoom.us/j/93433347588

Meeting ID: 934 3334 7588

Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek