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Two weighted ineqalities for maximal functions related to Cesàro convergence
Published online by Cambridge University Press: 09 April 2009
Abstract
We characterize the pairs of weights (u, v) for which the maximal operator is of weak and restricted weak type (p, p) with respect to u(x)dx and v(x)dx. As a consequence we obtain analogous results for We apply the results to the study of the Cesàro-α convergence of singular integrals.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 74 , Issue 1 , February 2003 , pp. 111 - 120
- Copyright
- Copyright © Australian Mathematical Society 2003