This open access book provides an extensive treatment of Hardy inequalities and closely
related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The …

This revised and extended edition of a well-established monograph in function theory
contains a study on various function classes on the disc, a number of new results and new or …

We propose the analogues of boundary layer potentials for the sub-Laplacian on
homogeneous Carnot groups/stratified Lie groups and prove continuity results for them. In …

In this work we establish sharp kernel conditions ensuring that the corresponding integral
operators belong to Schatten-von Neumann classes. The conditions are given in terms of …

arXiv:2307.06198v1 [math.AP] 12 Jul 2023 Page 1 arXiv:2307.06198v1 [math.AP] 12 Jul 2023
Taylor’s expansions of Riesz convolution and the fractional Laplacians with respect to the …

This paper is devoted to the study of upper bounds for the norm of the convolution operator
in Morrey spaces. The spaces M p, q α, which cover the classical Morrey spaces, are …

A bstract A new approach is presented to compute entropy for massless scalar quantum
fields. By perturbing a skewed correlation matrix composed of field operator correlation …

In this note we prove an analogue of the Rayleigh–Faber–Krahn inequality, that is, that the
geodesic ball is a maximiser of the first eigenvalue of some convolution type integral …

We deal with the time-harmonic acoustic waves scattered by a large number of small holes,
with radius a, a≪ 1, arbitrarily distributed in a bounded part of the homogeneous …

This book is an attempt to collect a number of properties emerging in recent research
describing certain features of the theory of partial differential equations that can be attributed …