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Journal of Fourier Analysis and Applications - Let G be a discrete group, let $$p\ge 1$$, and let $$\omega $$ be a weight on G. Using the approach from Gröchenig and Klotz (J Lond Math Soc (2)... 相似文献
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We answer two open questions concerning the recently introduced notions of slicely countably determined (SCD) sets and SCD
operators in Banach spaces. An application to narrow operators in spaces with the Daugavet property is given. 相似文献
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Let G be a locally compact abelian group, \(\omega :G\rightarrow (0,\infty )\) be a weight, and (\(\Phi ,\Psi \)) be a complementary pair of strictly increasing continuous Young functions. We show that for the weighted Orlicz algebra \(L^\Phi _\omega (G)\), the weak amenability is obtained under conditions similar to the ones considered in Zhang (Proc Amer Math Soc 142:1649–1661, 2014) for weighted group algebras. Our methods can be applied to various families of weighted Orlicz algebras, including weighted \(L^p\)-spaces. 相似文献
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