This is an expository paper describing a few selected topics of Yuri Karlovich’s work. I focus the attention on our joint work devoted to the identification of the local spectra of Toeplitz and singular integral operators caused by the oscillations of Carleson curves and those of Muckenhoupt weights.

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Yuri Karlovich and the Metamorphosis of Spectra of Singular Integral and Toeplitz Operators

  • Albrecht Böttcher

摘要

This is an expository paper describing a few selected topics of Yuri Karlovich’s work. I focus the attention on our joint work devoted to the identification of the local spectra of Toeplitz and singular integral operators caused by the oscillations of Carleson curves and those of Muckenhoupt weights.