Brunn–Minkowski and Zhang inequalities for convolution bodies

Volume difference inequalities for the projection and intersection bodies

In this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. Following this, we establish the Minkowski and Brunn-Minkowski inequalities for volumes difference function of the projection and intersection bodies.

volume difference inequalities for the projection and intersection bodies

in this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. following this, we establish the minkowski and brunn-minkowski inequalities for volumes difference function of the projection and intersection bodies.

Inequalities for Strongly Singular Convolution Operators

Best Constants for Two Non-convolution Inequalities

The norm of the operator which averages |f | in L p (R n) over balls of radius δ|x| centered at either 0 or x is obtained as a function of n, p and δ. Both inequalities proved are n-dimensional analogues of a classical inequality of Hardy in R 1. Finally, a lower bound for the operator norm of the Hardy-Littlewood maximal function on L p (R n) is given. A classical result of Hardy [HLP] states ...

New inequalities for star bodies