Results 11 to 20 of about 1,610 (98)
From Hardy to Rellich inequalities on graphs
Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021 Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller +2 more
wiley +1 more source
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, we define a kind of truncated maximal function on the Heisenberg space by Mγcfx=sup0
Xiang Li +2 more
wiley +1 more source
Improved quality of life in patients with refractory or recidivant ascites after insertion of transjugular intrahepatic portosystemic shunts [PDF]
, 2002 Background. We have recently shown that the transjugular intrahepatic portosystemic shunt (TIPS) is more effective than paracentesis in the treatment of cirrhotic patients with severe ascites and can prolong survival in selected patients.
Bilzer, M. +5 more
core +1 more source
Non-existence of multi-line Besicovitch sets [PDF]
, 2013 If a compact set K \subset R^2 contains a positive-dimensional family of line-segments in positively many directions, then K has positive measure.Comment: 7 pages.
Orponen, Tuomas
core +3 more sources
Advances in Nonlinear Analysis, 2021 This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
doaj +1 more source
Local lower norm estimates for dyadic maximal operators and related Bellman functions [PDF]
, 2015 We provide lower $L^q$ and weak $L^p$-bounds for the localized dyadic maximal operator on $R^n$, when the local $L^1$ and the local $L^p$ norm of the function are given.
Melas, Antonios D. +1 more
core +2 more sources
Stein-Weiss inequality for local mixed radial-angular Morrey spaces
Open Mathematics, 2022 In this article, a generalization of the well-known Stein-Weiss inequality for the fractional integral operator on functions with different integrability properties in the radial and the angular direction in local Morrey spaces is established.
Wei Mingquan, Su Fangming, Sun Lanyin
doaj +1 more source
θ-type Calderón-Zygmund Operators and Commutators in Variable Exponents Herz space
Open Mathematics, 2018 The aim of this paper is to deal with the boundedness of the θ-type Calderón-Zygmund operators and their commutators on Herz spaces with two variable exponents p(⋅), q(⋅).
Yang Yanqi, Tao Shuangping
doaj +1 more source
Sparse bilinear forms for Bochner Riesz multipliers and applications
Transactions of the London Mathematical Society, Volume 4, Issue 1, Page 110-128, December 2017., 2017 Abstract We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal. PDE 9 (2016) 1079–1113], in order to control Bochner–Riesz operators by a sparse bilinear form. In this way,
Cristina Benea +2 more
wiley +1 more source
Area Integral Characterization of Hardy space H1L related to Degenerate Schrödinger Operators
Advances in Nonlinear Analysis, 2019 Let
Huang Jizheng, Li Pengtao, Liu Yu
doaj +1 more source