The Hardy-Landau-Littlewood Inequalities with Less Smoothness

Volume 4, Issue 3 (GI8), 2003

Article 51

THE HARDY-LANDAU-LITTLEWOOD INEQUALITIES WITH LESS SMOOTHNESS

CONSTANTIN P. NICULESCU AND CONSTANTIN BUSE

UNIVERSITY OF CRAIOVA,
DEPARTMENT OF MATHEMATICS,
CRAIOVA 1100,
ROMANIA.
E-Mail: cniculescu@central.ucv.roURL: http://www.inf.ucv.ro/~niculescu

WEST UNIVERSITY OF TIMISOARA,
TIMISOARA 1900,
ROMANIA.
E-Mail: buse@hilbert.math.uvt.ro

Received 12 March, 2003; Accepted 31 March, 2003.
Communicated by: S.S. Dragomir

ABSTRACT. One proves Hardy-Landau-Littlewood type inequalities for functions in the Lipschitz space attached to a $C_{0}$ -semigroup (or to a $C_{0}^{\star }$ -semigroup).

Key words:
Landau's inequalities, C₀- semigroup, Lipschitz function.

2000 Mathematics Subject Classification:
Primary 26D10, 47D06; Secondary 26A51.

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