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arxiv: math/0406534 · v1 · submitted 2004-06-25 · 🧮 math.FA · math.PR

Exponential Orlicz Spaces: New Norms and Applications

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keywords orliczspacesapplicationsexponentialnormssomecharacterizationconsider
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The aim of this paper is investigating of Orlicz spaces with exponential function and correspondence Orlicz norm: we introduce some new equivalent norms, obtain the tail characterization, study the product of functions in Orlicz spaces etc. We consider some applications: estimation of operators in Orlicz spaces and problem of martingales convergence and divergence

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