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STRONG AND WEAK WEIGHTED NORM INEQUALITIES FOR THE GEOMETRIC FRACTIONAL MAXIMAL OPERATOR
Published online by Cambridge University Press: 30 March 2012
Abstract
We characterise the strong- and weak-type boundedness of the geometric fractional maximal operator between weighted Lebesgue spaces in the case 0<p≤q<∞, generalising and improving some older results.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 86 , Issue 2 , October 2012 , pp. 205 - 215
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2012