Mapping properties of maximal operators on infinite connected graphs
DOI10.7153/jmi-2021-15-111zbMath1487.42052OpenAlexW3216958535MaRDI QIDQ5028945
Xiao Zhang, Feng Liu, Hui-Yun Zhang
Publication date: 11 February 2022
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/jmi-2021-15-111
Lipschitz spaceinfinite graphHölder spaceCampanato spaceMorrey spaceHardy-Littlewood maximal operator and its fractional variant
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Structural characterization of families of graphs (05C75) Distance in graphs (05C12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mapping properties of the discrete fractional maximal operator in metric measure spaces
- Smoothing properties of the discrete fractional maximal operator on Besov and Triebel-Lizorkin spaces
- Weighted norm inequalities for operators of potential type and fractional maximal functions
- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- Random martingales and localization of maximal inequalities
- Sharp weighted bounds for fractional integral operators
- New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
- On the maximal ergodic theorem for certain subsets of the integers
- On the pointwise ergodic theorem on \(L^ p\) for arithmetic sets
- A note on Riesz potentials
- The Hardy-Littlewood maximal function of a Sobolev function
- The best constant for the centered Hardy-Littlewood maximal inequality
- Regularity of discrete multisublinear fractional maximal functions
- Potential operators, maximal functions, and generalizations of \(A_{\infty}\)
- Weighted norm inequalities on graphs
- Geometric properties of infinite graphs and the Hardy-Littlewood maximal operator
- Sobolev regularity of maximal operators on infinite connected graphs
- Best constants for the Hardy-Littlewood maximal operator on finite graphs
- Fractional maximal functions in metric measure spaces
- Derivative bounds for fractional maximal functions
- On very weak solutions of certain elliptic systems
- A characterization of some weighted norm inequalities for the fractional maximal function
- REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
- Estimates for functions of the Laplace operator on homogeneous trees
- Weighted Norm Inequalities for Fractional Integrals
- Fefferman–Stein Inequalities for the Hardy–Littlewood Maximal Function on the Infinite Rooted k-ary Tree
This page was built for publication: Mapping properties of maximal operators on infinite connected graphs
