We establish in this paper general geometric Hardy's identities and inequalities on domains
in RN in the spirit of their celebrated works by Brezis-Vázquez and Brezis-Marcus. Hardy's …

In this paper, we first prove a general symmetrization principle for the Hardy type inequality
with non-radial weights of the form A xx 1 P 1… x NPN (Theorem 1.1). Using this …

Motivated and inspired by the improved Hardy inequalities studied in their well-known works
by Brezis and Vázquez (Rev Mat Univ Complut Madrid 10: 443–469, 1997) and Brezis and …

We prove a family of Hardy–Rellich and Poincaré identities and inequalities on the
hyperbolic space having, as particular cases, improved Hardy-Rellich, Rellich and second …

We investigate the improvements of the L p-Hardy and L p-Rellich inequalities when adding
a large class of magnetic fields. In particular, under certain conditions of the magnetic …

We set up several identities that imply some versions of the Hardy type inequalities. These
equalities give a straightforward understanding of several Hardy type inequalities as well as …

We study Hardy inequalities for antisymmetric functions in three different settings: Euclidean
space, torus and the integer lattice. In particular, we show that under the antisymmetric …

The principal aim of this paper is to extend Birman's sequence of integral inequalities
originally obtained in Mat. Sb.(NS) 55 (97), 125–174,(1961), and containing Hardy's and …

The principal aim of this paper is to establish the optimality (ie, sharpness) of the constants A
(m, α) and B (m, α), m∈ ℕ, α∈ ℝ, of the form in the power-weighted Birman-Hardy-Rellich …

arXiv:2408.00013v1 [math.AP] 27 Jul 2024 Page 1 arXiv:2408.00013v1 [math.AP] 27 Jul 2024
FACTORIZATIONS AND POWER WEIGHTED RELLICH AND HARDY–RELLICH-TYPE …