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Estimates of difference norms for functions in anisotropic Sobolev spaces

✍ Scribed by V. I. Kolyada; F. J. Pérez

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
237 KB
Volume
267
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We investigate the spaces of functions on ℝ^n^ for which the generalized partial derivatives D__~k~f__ exist and belong to different Lorentz spaces L . For the functions in these spaces, the sharp estimates of the Besov type norms are found. The methods used in the paper are based on estimates of non‐increasing rearrangements. These methods enable us to cover also the case when some of the p~k~'s are equal to 1. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Norm estimates for functions of two oper
Norm estimates for functions of two operators on tensor products of Hilbert spaces
✍ M. I. Gil' 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

## Abstract Analytic operator valued functions of two operators on tensor products of Hilbert spaces are considered. A precise norm estimate is established. Applications to operator differential equations are also discussed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)