A Continuous Analogue of the Fisher-Hartwig Formula for Piecewise Continuous Symbols

Symbol calculus and Fredholmness for a B

Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data

✍ Maria Amélia Bastos; António Bravo; Yuri Karlovich 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 358 KB

## 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