IJPAM: Volume 60, No. 1 (2010)
WEIGHTS FOR THE HARDY OPERATOR
ON NON-DECREASING FUNCTIONS
ON NON-DECREASING FUNCTIONS
C.J. Neugebauer
Department of Mathematics
Purdue University
150, North University Street, West Lafayette, IN 47907-2067, USA
e-mail: neug@math.purdue.edu
Department of Mathematics
Purdue University
150, North University Street, West Lafayette, IN 47907-2067, USA
e-mail: neug@math.purdue.edu
Abstract.We present single weight and two-weight integral inequalities for the
Hardy operator on non-decreasing functions. In this context the Hardy operator is
the minimal operator, but the inequalities are much nicer than those one expects from
the minimal operator theory [#!3!#].
Received: February 11, 2010
AMS Subject Classification: 30H10
Key Words and Phrases: weights, Hardy operator
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 60
Issue: 1