TY - JOUR
T1 - First Order Hardy Inequalities Revisited
AU - Huang, Xia
AU - Ye, Dong
N1 - Publisher Copyright:
© 2022, Global Science Press. All rights reserved.
PY - 2022/12/2
Y1 - 2022/12/2
N2 - In this paper, we consider the first order Hardy inequalities using simple equalities. This basic setting not only permits to derive quickly many well-known Hardy inequalities with optimal constants, but also supplies improved or new estimates in miscellaneous situations, such as multipolar potential, the exponential weight, hyperbolic space, Heisenberg group, the edge Laplacian, or the Grushin type operator.
AB - In this paper, we consider the first order Hardy inequalities using simple equalities. This basic setting not only permits to derive quickly many well-known Hardy inequalities with optimal constants, but also supplies improved or new estimates in miscellaneous situations, such as multipolar potential, the exponential weight, hyperbolic space, Heisenberg group, the edge Laplacian, or the Grushin type operator.
KW - First order Hardy inequality
KW - generalized Bessel pair
KW - inequality via equality
UR - https://www.scopus.com/pages/publications/105023689581
U2 - 10.4208/cmr.2021-0085
DO - 10.4208/cmr.2021-0085
M3 - 文章
AN - SCOPUS:105023689581
SN - 1674-5647
VL - 38
SP - 535
EP - 559
JO - Communications in Mathematical Research
JF - Communications in Mathematical Research
IS - 4
ER -