In this paper we present renements and improvement of the Young inequality in the context of linear bounded operators.

If a, b are n × n matrices, T. Ando proved that Young’s inequality is valid for their singular values: if p > 1 and 1/p + 1/q = 1, then λk(|ab∗ |) ≤ λk 1 p |a| p + 1 q |b| q for all k. Later, this result was extended ...

We study Hausdorff-Young-type inequalities for vector-valued Dirichlet series which allow us to compare the norm of a Dirichlet series in the Hardy space Hp(X) with the q-norm of its coefficients. In order to obtain ...

For a semi-finite von Neumann algebra A, we study the case of equality in Young´s inequality of s-numbers for a pair of τ-measurable operators a,b, and we prove that equality is only possible if |a|^p=|b|^q. We also extend ...

This study compares the health and socio-demographic characteristics of residentially mobile families with young children in England to families that do not move and assesses the impact of their moves upon inequalities in ...

We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functions involved are assumed to be radially symmetric. We also present applications of these results to inequalities for Riesz ...

In this paper we study commutators of a certain class of fractional type integral operators. These operators are given by kernels of the form K(x,y) = k1(x−A1y)k2(x−A2y)...km(x−Amy), where Ai are invertible matrices and ...

This study compares the health and socio-demographic characteristics of residentially mobile families with young children in England to families that do not move and assesses the impact of their moves upon inequalities in ...