Premium
Logarithmic Version of Interpolation Inequalities for Derivatives
Author(s) -
Kałamajska Agnieszka,
Pietruska-Pałuba Katarzyna
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610704005782
Subject(s) - logarithm , interpolation (computer graphics) , mathematics , inequality , pure mathematics , mathematical analysis , algebra over a field , calculus (dental) , computer science , animation , medicine , computer graphics (images) , dentistry
A version of interpolation inequalities for derivatives in logarithmic Orlicz spaces is obtained where the first gradient of u is estimated in terms of u and its second gradient. One of the Orlicz functions considered is supposed to be λ p . The motivation, examples and applications are discussed.