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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
are weak solutions for (1. ) , thus they can be named p-harmonic functions... 2.Fundamental solutions for p-Laplace equation.. We will first construct a simple radial solution
We give upper and lower bounds for the largest integer not representable as a posi- tive linear combination of three given integers, disproving an upper bound conjectured by
interested reader. Note that the upper bounds in Lemma 8 and Corollary 10 neither depend on the structure of G nor on the underlying migration mechanism, as long as there is
Subordinated processes are processes constructed from integral representations with random kernels, or said another way, where the stable random measure (of the integral
We will see in Section 4.1 that, assuming the Lifshitz tail effect in [ 12 ] , our result indeed derives the correct upper bound of the quenched asymptotics for the Brownian
The class of graphs we consider includes hyperbolic graphs with sufficiently high degree, where the best upper bound on the mixing time of the free boundary dynamics is polynomial in
This Gaussian concentration is derived from a Gaussian upper bound of the density of the scheme and a modification of the so-called “Herbst argument” used to prove Logarithmic