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A note on the Besov spaces ${\rm B}_1^{Φ_2}$

Geiss, Stefan
arXiv (All) · Papers
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46e3046e3560h0760h10functional-analysisprobability
Regarding the Besov space ${\rm B}_1^{Φ_2}$, defined by S. Geiss and Ylinen (Memoirs AMS 1335, 2021) by a coupling method, we prove for $ξ\in{\rm B}_1^{Φ_2} \cap L_2$ a distributional estimate in terms of the Lorentz-Zygmund space $L_{1,\infty}(\ln L)^{-1}$ for the Malliavin derivative ${\rm D}(T_uξ
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