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C*-Algebras of Bergman Type Operators with Piecewise Continuous Coefficients

✍ Scribed by Yu. I. Karlovich; Luís V. Pessoa

Publisher: SP Birkhäuser Verlag Basel
Year: 2006
Tongue: English
Weight: 556 KB
Volume: 57
Category: Article
ISSN: 0378-620X
DOI: 10.1007/s00020-006-1473-x

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## Abstract A symbol calculus for the smallest Banach subalgebra 𝒜~[__SO,PC__]~ of the Banach algebra ℬ︁(__L^n^~p~__(ℝ)) of all bounded linear operators on the Lebesgue spaces __L^n^~p~__(ℝ) (1 < __p__ < ∞, __n__ ≥ 1) which contains all the convolution type operators __W~a,b~__ = __a__ℱ^−1^__b__ℱ w