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Maximal and other operators in exponential Orlicz and Grand Lebesgue Spaces. (arXiv:1706.07539v1 [math.FA])

来源于:arXiv
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. 查看全文>>