Geodesic
Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight
Algebra i analiz, Tome 13 (2001) no. 2, pp. 116-129 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, Muckenhoupt weight, sequence space, Toeplitz algebra.
Mots-clés : symbol calculus 
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     author = {A. B\"ottcher and M. Seybold},
     title = {Discrete one-dimensional zero-order pseudodifferential operators on spaces with {Muckenhoupt} weight},
     journal = {Algebra i analiz},
     pages = {116--129},
     year = {2001},
     volume = {13},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AA_2001_13_2_a3/}
}
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A. Böttcher; M. Seybold. Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight. Algebra i analiz, Tome 13 (2001) no. 2, pp. 116-129. http://geodesic.mathdoc.fr/item/AA_2001_13_2_a3/