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- W3099589080 abstract "The existence of unimodular forms with small norms on sequence spaces is crucial in a variety of problems in modern analysis. We prove that the infimum of $$Vert AVert $$ over all unimodular d-linear (complex or real) forms A on $$ell _{p_1}^{n_{1}} times cdots times ell _{p_d}^{n_{d}}$$ , for all $$p_1,dots ,p_d in [2, infty ]$$ and all positive integers $$n_1,dots ,n_d$$ , behaves (asymptotically) as $$(n_{1}^{1/2} + cdots + n_{d}^{1/2}) prod _{j=1}^{d}n_{j}^{frac{1}{2} - frac{1}{p_j}}$$ . Applications to the theory of the multilinear Hardy–Littlewood inequality are also presented." @default.
- W3099589080 created "2020-11-23" @default.
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- W3099589080 date "2019-12-16" @default.
- W3099589080 modified "2023-10-09" @default.
- W3099589080 title "Asymptotic Estimates for Unimodular Multilinear Forms with Small Norms on Sequence Spaces" @default.
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- W3099589080 doi "https://doi.org/10.1007/s00574-019-00189-2" @default.
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