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arXiv · 1706.07539

Maximal and other operators in exponential Orlicz and Grand Lebesgue Spaces

E. Ostrovsky·L. Sirota
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Abstract

We derive in this preprint the exact up to multiplicative constant non-asymptotical estimates for the norms of some non-linear in general case operators, for example, the so-called maximal functional operators, in two probabilistic rearrangement invariant norm: exponential Orlicz and Grand Lebesgue Spaces. We will use also the theory of the so-called Grand Lebesgue Spaces (GLS) of measurable functions.

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E. Ostrovsky, L. Sirota. 2017-06-23. Maximal and other operators in exponential Orlicz and Grand Lebesgue Spaces. https://arxiv.org/abs/1706.07539

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