Galerkin method for Wiener-Hopf operators with piecewise continuous symbol
✍ Scribed by Pedro A. Santos; Bernd Silbermann
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2000
- Tongue
- English
- Weight
- 674 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Q 1. Introduction The singular integral operator S, on the half-line R,, m being the simplest example of a WIENER-HOPF integral operator with piecewise continuous symbol, suggests that there ought to be some reason to consider such operators not only in L2(R+) but also in Lp(R+) (1 < p < 0 0 )
During the last fifteen years it has become clear that local principles are a powerful tool in investigating FREDHO LM properties of singular integral operators and TOEPLITZ operators\*). We remind here only of the local methods of I. B. SIMONENKO [15], [lG], V. S. PILIDI [12], R. G. DOUGLAS [i] and
## 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