An Extension of Calderón Transfer Principle and its Application to Ergodic Maximal Function An Extension of Calderón Transfer Principle and its Application to Ergodic Maximal Function

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Sakin Demir

Abstract

We first prove that the well-known transfer principle of Calderón can be extended to the vector-valued setting, and then, we apply this extension to vector-valued inequalities for the Hardy–Littlewood maximal function to prove the vector-valued strong type Lp norm inequalities for 1< p < α and the vector-valued weak type (1,1) inequality for ergodic maximal function.

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Research Article

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