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This article is cited in 6 scientific papers (total in 6 papers)
Research Papers
Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight
A. Böttcher, M. Seybold Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany
Abstract:
This paper explores operators on $\ell^p$ over the integers with an arbitrary Muckenhoupt weight. The main result is a Fredholm criterion for the operators in the Banach algebra generated by zero-order pseudodifferential operators with piecewise continuous symbols. In contrast to the common power weights, general Muckenhoupt weights may produce massive parts in the essential spectrum of these operators.
Keywords:
pseudodifferential operator, symbol calculus, Muckenhoupt weight, sequence space, Toeplitz algebra.
Received: 20.07.2000
Citation:
A. Böttcher, M. Seybold, “Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight”, Algebra i Analiz, 13:2 (2001), 116–129; St. Petersburg Math. J., 13:2 (2002), 241–252
Linking options:
https://www.mathnet.ru/eng/aa928 https://www.mathnet.ru/eng/aa/v13/i2/p116
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