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Two-weight weak and extra-weak type inequalities for the one-sided maximal operator
Published online by Cambridge University Press: 14 November 2011
Synopsis
Let be the one-sided maximal operator and let Ф be a convex non-decreasing function on (0, ∞), Ф(0) = 0. We present necessary and sufficient conditions on a couple of weight functions (σ, ϱ) such that the integral inqualities of weak type
and of extra-weak type
hold. Our proofs do not refer to the theory of Orlicz spaces.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 6 , 1993 , pp. 1109 - 1118
- Copyright
- Copyright © Royal Society of Edinburgh 1993
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