In this work we investigate families of translation invariant differentiation bases B of rectangles in Rn, for which L log^(n−1) L(R^n) is the largest Orlicz space that B differentiates. In particular, we improve on techniques developed by Stokolos in [11] and [13] (see the attached file).

Averaging on n-dimensional rectangles

D'ANIELLO, Emma;
2017

Abstract

In this work we investigate families of translation invariant differentiation bases B of rectangles in Rn, for which L log^(n−1) L(R^n) is the largest Orlicz space that B differentiates. In particular, we improve on techniques developed by Stokolos in [11] and [13] (see the attached file).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/350045
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