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Weak lower semicontinuity of integral functionals and applications
Minimization is a recurring theme in many mathematical disciplines ranging from pure to
applied. Of particular importance is the minimization of integral functionals, which is studied …
applied. Of particular importance is the minimization of integral functionals, which is studied …
The foundational inequalities of DL Burkholder and some of their ramifications
R Banuelos - Illinois Journal of Mathematics, 2010 - projecteuclid.org
This paper presents an overview of some of the applications of the martingale inequalities of
DL Burkholder to $ L^ p $-bounds for singular integral operators, concentrating on the …
DL Burkholder to $ L^ p $-bounds for singular integral operators, concentrating on the …
Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case
We show that, in the two-dimensional case, every objective, isotropic and isochoric energy
function that is rank-one convex on GL+ (2) is already polyconvex on GL+ (2). Thus, we …
function that is rank-one convex on GL+ (2) is already polyconvex on GL+ (2). Thus, we …
An Essay on the Interpolation Theorem of J\'ozef Marcinkiewicz-Polish Patriot
T Iwaniec - arxiv preprint arxiv:1102.0167, 2011 - arxiv.org
In memory of Polish mathematicians murdured by the Soviets and the Nazis. The total record
of accomplishments of Marcinkiewicz in his short life, his talent, perceptions rich in concepts …
of accomplishments of Marcinkiewicz in his short life, his talent, perceptions rich in concepts …
[PDF][PDF] BURKHOLDER TYPE INEQUALITIES FOR SUBMARTINGALES AND APPLICATIONS TO BESSEL PROCESSES AND CONFORMAL MARTINGALES
R BANUELOS, A OSEKOWSKI - duch.mimuw.edu.pl
BURKHOLDER TYPE INEQUALITIES FOR SUBMARTINGALES AND APPLICATIONS TO
BESSEL PROCESSES AND CONFORMAL MARTINGALES 1. Introduction L Page 1 …
BESSEL PROCESSES AND CONFORMAL MARTINGALES 1. Introduction L Page 1 …