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
✦ LIBER ✦
On algebras of singular integral operators with shift in Hölder weighted spaces
✍ Scribed by G. Yu. Vinogradova
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 120 KB
- Volume
- 126
- Category
- Article
- ISSN
- 1573-8795
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## Abstract We show that singular integral operators with piecewise continuous coefficients may gain massive spectra when considered in weighted spaces of continuous functions with a prescribed continuity modulus (generalized Hölder spaces __H^ω^__ (Γ, __ρ__ )), a fact known for example for Lebesgu
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