Talks given at NuHAG events

Function Spaces and Invariance Properties

  Hans G. Feichtinger

  given at  Prag (13.07.18 11:30)
  id:  3588
  length:  25min
It is the purpose of this talk to discuss a variety of situations where invariance properties of function spaces under a certain group of operators, specifically time-frequency shifts or dilations, help to derive atomic characterizations, find minimal or maximal spaces, or prove boundedness properties of certain operators.

Aside from the well-known characterization of real Hardy spaces via
atomic decompositions (Coifman-Weiss, 1977) we can mention the work on the Segal algebra $\SORdN$ in the context of Gabor analysis , but also the proof of Wiener's Third Tauberian Theorem (see \cite{fe88}) for functions of bounded $p$-means on $\Rst^d$ (Wiener did the case $d=1, p=2$ in his book of 1933.

We will also present some known results concerning the {\it Fofana spaces} $(\Lqsp,\lpsp)^{\alpha}$. These spaces are defined as subspaces of Wiener Amalgam spaces $\Wsp(\Lqsp,\lpsp)(\Rdst)$, for $1 \leq p < \alpha < q \leq \infty$ (otherwise they are trivial). In particular we are able to describe them as dual Banach spaces and provide atomic characterizations of the predual.

Enter here the CODE for editing this talk:
If you have forgotten the CODE for your talk click here to send an email to the Webmaster!
NOTICE: In [EDIT-MODUS] you can also UPLOAD a presentation"