Talks given at NuHAG events

On the wavelet shift operator

  Maciej Paluszynski
    Wroclaw University

  given at  strobl11 (17.06.11 16:00)
  id:  2106
  length:  min
  status:  accepted
  type:  poster
A Haar shift operator has been introduced in \cite{pet} as a new tool to prove
results about Calder\'on-Zygmund operators. It is constructed using Haar basis,
and an appropriate average of it recovers the Hilbert transform. Other
Calder\'on-Zygmund operators can also be studied in this way. The Haar shift
operator has become a powerful tool. We look at this operator in the context of
a more general wavelet basis, and prove a convergence theorem.

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