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Spectral perturbation theory and the two weights problem | | Alexander Pushnitski
; Alexander Volberg
; | | Date: |
8 Jun 2013 | | Abstract: | The famous two weights problem consists in characterising all possible pairs
of weights such that the Hardy projection is bounded between the corresponding
weighted $L^2$ spaces. Koosis’ theorem of 1980 gives a way to construct a
certain class of pairs of weights. We show that Koosis’ theorem is closely
related to (in fact, is a direct consequence of) a spectral perturbation model
suggested by de Branges in 1962. Further, we show that de Branges’ model
provides an operator-valued version of Koosis’ theorem. | | Source: | arXiv, 1306.1912 | | Services: | Forum | Review | PDF | Favorites | |
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