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Abstract: We use Salem’s method [ 13 , 14 ] to prove an inequality of Kwapie´n and Pełczy´nski concerning a lower bound for partial sums of series of bi-orthogonal vectors in a
As already remarked we can prove similar results for arbitrary ground fields k when we assume corresponding results for the ℓ –rank of the class groups of quadratic extensions
We improve the known upper bound of the dimension n of an indecomposable unimodular lattice whose shadow has the third largest possible length, n − 16.. Occasionally, we will use χ (
In this section, we prove results concerning local (i.e., restricted to proper subspaces) vs global linear dependence of operators that will be used in the proof of Theorem 1.5, and
We prove a finite volume lower bound of the order √ log N on the delocalization of a disordered continuous spin model (resp.. The interaction is assumed to be massless,
Then, to prove IDLA inner bound, we need to show that for each vertex v ∈ V the Green function from 0 and expected exit time from a ball around 0 of a random walk starting at v ,
We prove the existence and uniqueness of a strong solution of a stochastic differential equation with normal reflection representing the random motion of finitely many globules..
In this paper, we will introduce the multilinear commutator of Marcinkiewicz operator and prove the boundedness properties of the operator for the extreme cases.. First let us
