Lp bounds on singular integrals in homogenization
β Scribed by M. Avellaneda; Fang Hua Lin
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 443 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
## Abstract Necessary and sufficient analytical conditions are determined for a singular integral operator of the form __aP + bQ__ with bounded measurable coefficients to be a Οβoperator on __L__~__p__~(Ξ) for all 1 < __p__ < β. where Ξ is a closed Lyapunov curve.
The approximation of functions by singular integrals is an important question in the theory of differential and integral equations. Therefore the consideration of approximation problems in various norms is useful. Recently in many papers approximation problems have been studied in the Holder norms
A logarithmic singularity is typically present in the kernels of two-body, boundstate integral equations after the two angular variables associated with threedimensional spherical coordinates are separated. The singularity occurs in the separated SchrΓΆdinger equation, the separated Bethe-Salpeter eq
## Abstract Necessary and sufficient conditions for the stability of certain collocation methods applied to Cauchy singular integral equations on an interval are presented for weighted **L**__'__ norms. Moreover, the behavior of the approximation numbers, in particular their soβcalled __k__ βsplitt