Improvement of some discrete Hardy inequalities with variants
Sign Up to like & getrecommendations! Published in 2024 at "Glasgow Mathematical Journal"
DOI: 10.1017/s0017089524000296
Abstract: Abstract In this paper, we establish a new version of one-dimensional discrete improved Hardy’s inequality with shifts by introducing a shifting discrete Dirichlet’s Laplacian. We prove that the general discrete Hardy’s inequality as well as… read more here.
Keywords: improvement discrete; discrete hardy; hardy inequalities; hardy ... See more keywords
Boundedness of both discrete Hardy and Hardy–Littlewood maximal operators via Muckenhoupt weights
Sign Up to like & getrecommendations! Published in 2021 at "Rocky Mountain Journal of Mathematics"
DOI: 10.1216/rmj.2021.51.733
Abstract: We employ the self-improving property (backward propagation) for the discrete Muckenhoupt class ????p, to prove that both discrete Hardy and discrete Hardy–Littlewood maximal operators are bounded on the usual weighted Lebesgue space lup(ℤ+) if and… read more here.
Keywords: hardy littlewood; hardy; littlewood maximal; maximal operators ... See more keywords