Related papers: Burkholder inequality by Bregman divergence
We prove the Invariant Subspace Conjecture for separable Hilbert spaces.
We prove a reverse form of the multidimensional Brascamp-Lieb inequality. Our method also gives a new way to derive the Brascamp-Lieb inequality and is rather convenient for the study of equality cases.
We prove Ehrhard's inequality using interpolation along the Ornstein-Uhlenbeck semi-group. We also provide an improved Jensen inequality for Gaussian variables that might be of independent interest.
In this article we use the Bellman function technique to characterize the measures for which the weighted Hardy's inequality holds on dyadic trees. We enunciate the (dual) Hardy's inequality over the dyadic tree and we use the associated…
We describe the Bellman function technique for proving sharp inequalities in harmonic analysis. To provide an example along with historical context, we present how it was originally used by Donald Burkholder to prove $L^p$ boundedness of…
In this paper, new inequalities connected with the celebrated Steffensen's integral inequality are proved.
We present inequalities and some applications to Kellers' limit and Carlemans' inequality.
In this note we prove an inequality involving primes and the product of consecutive primes.
We prove that the construction of our previous paper math.QA/0103190 yields an invariant of tangle cobordisms.
We will prove the Brannan conjecture for particular values of the parameter. The basic tool of the study is an integral representation published in a recent work [3].
We present a simple inductive proof of the Lagrange Inversion Formula.
Watson proved Kirkman's hypothesis (partially solved by Cayley). Using Lagrange Inversion, we drastically shorten Watson's computations and generalize his results at the same time.
We prove explicit upper bounds for weighted sums over prime numbers in arithmetic progressions with slowly varying weight functions. The results generalize the well-known Brun-Titchmarsh inequality.
We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.
We use GL(2) delta method to establish the Burgess bound.
We give the counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture.
We give a direct analytic proof of the classical Boundary Harnack inequality for solutions to linear uniformly elliptic equations in either divergence or non-divergence form.
We prove in this note one weight norm inequalities for some positive Bergman-type operators.
We prove existence of an invariant measure on a hypergroup.
We settle in the affirmative the Graham-Sloane conjecture.