منابع مشابه
Dedicated to the Memory of Jose Luis Rubio De Francia
In this paperwe prove that the /~.,-cube can be (1 + s)-embedded into any 1 -subsyntmetrie C(s>n.dimensional normed space. Marcus and Pisier in [5]iniciated tite study of tite geometry ob finite metric spaces. Bourgain, Milman and Wolbson introduced a new notion of metnc type and developed tite non-linear titeory of Banacit spaces (see [2]and [7]). AII titese themes have been studied more inten...
متن کاملIssues related to Rubio de Francia’s Littlewood–Paley inequality
Let Sω f = ∫ ω f̂(ξ)e dξ be the Fourier projection operator to an interval ω in the real line. Rubio de Francia’s Littlewood–Paley inequality (Rubio de Francia, 1985) states that for any collection of disjoint intervals Ω, we have ∥∥∥∥ [∑ ω∈Ω |Sω f | 1/2∥∥∥∥ p ‖f‖p, 2 ≤ p < ∞. We survey developments related to this inequality, including the higher dimensional case, and consequences for multiplie...
متن کاملProof of a conjecture of José L . Rubio de Francia
Given a compact connected abelian group G, its dual group Γ can be ordered (in a non-canonical way) so that it becomes an ordered group. It is known that, for any such ordering on Γ and p in the range 1 < p < ∞, the characteristic function χI of an interval I in Γ is a p−multiplier with a uniform bound (independent of I) on the corresponding operator SI on Lp(G). In this note it is shown that, ...
متن کاملRubio de Francia’s Littlewood-Paley inequality for operator-valued functions
We prove Rubio de Francia’s Littlewood-Paley inequality for arbitrary disjoint intervals in the noncommutative setting, i.e. for functions with values in noncommutative L-spaces. As applications, we get sufficient conditions in terms of q-variation for the boundedness of Schur multipliers on Schatten classes.
متن کاملQnAs with Angel Rubio.
Just as physics requires a different set of tools to explore phenomena at the quantum scale, chemistry requires a quantum paradigm. At the macroscale, the interaction of light with chemical entities can be observed in processes such as photosynthesis. But the actual interaction between photons and other matter occurs in the realm of quantum chemistry. National Academy of Sciences member and phy...
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ژورنال
عنوان ژورنال: Dixit
سال: 2019
ISSN: 0797-3691,1688-3497
DOI: 10.22235/d.vi31.1903