1. CMB 2010 (vol 54 pp. 159)
||Hardy Inequalities on the Real Line|
We prove that some inequalities, which are considered to be
generalizations of Hardy's inequality on the circle,
can be modified and proved to be true for functions integrable on the real line.
In fact we would like to show that some constructions that were
used to prove the Littlewood conjecture can be used similarly to
produce real Hardy-type inequalities.
This discussion will lead to many questions concerning the
relationship between Hardy-type inequalities on the circle and
those on the real line.
Keywords:Hardy's inequality, inequalities including the Fourier transform and Hardy spaces
2. CMB 2006 (vol 49 pp. 82)
||Embeddings and Duality Theorem for Weak Classical Lorentz Spaces |
We characterize the weight functions
$u,v,w$ on $(0,\infty)$ such that
As an application we present a~new simple characterization of
the associate space to the space $\Gamma^ \infty(v)$, determined by the
Keywords:Discretizing sequence, antidiscretization, classical Lorentz spaces, weak Lorentz spaces, embeddings, duality, Hardy's inequality