Logarithmic version of interpolation inequalities for derivatives

Autores: Agnieszka Kalamajska, Katarzyna Pietruska-Paluba
Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 70, Nº 3, 2004, págs. 691-702
Idioma: inglés
DOI: 10.1112/s0024610704005782
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Resumen
- A version of interpolation inequalities for derivatives in logarithmic Orlicz spaces is obtained where the first gradient of is estimated in terms of and its second gradient. One of the Orlicz functions considered is supposed to be . The motivation, examples and applications are discussed.