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Matrix symbol of order two for some Banach algebras

✍ Scribed by Naum Krupnik; Yafim Spigel

Publisher: SP Birkhäuser Verlag Basel
Year: 2001
Tongue: English
Weight: 738 KB
Volume: 40
Category: Article
ISSN: 0378-620X
DOI: 10.1007/bf01198141

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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