Shan-zhen Lu

Applied Mathematics · 2000–2020

A researcher in the Science corpus: 17 papers; trusts 7 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 31 citations into it; #2,317 of 7,620 by trust here, #1,958 by citations
• Mathematical Physics — 23 citations into it; #4,132 of 8,562 by trust here, #6,178 by citations

Whom Shan-zhen Lu trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Lars-Erik Persson
2. 'Arp'ad B'enyi
3. Natasha Samko
4. Loukas Grafakos
5. Zunwei Fu
6. Der-Chen Chang
7. Josip E. Pecaric

Who trusts Shan-zhen Lu overall

1. Mitsuo Izuki
2. Yohei Tsutsui
3. Jiecheng Chen
4. Dashan Fan
5. Vagif S. Guliyev
6. H. Al-Qassem

Papers from Shan-zhen Lu's perspective

Ordered by how strongly the researchers Shan-zhen Lu trusts endorse each paper. Same corpus, a different order for every researcher.

1. On an integral inequality.
2. FUNCTIONS OF BOUNDED MEAN OSCILLATION
3. Uniform Bounds for the Bilinear Hilbert Transforms, II
4. Uniform bounds for the bilinear Hilbert transforms, I
5. Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
6. Multipliers and Morrey Spaces
7. Lp and BMO Bounds of Weighted Hardy–Littlewood Averages
8. Weighted Inequalities of Hardy Type
9. A note on the best constants in some Hardy inequalities
10. Weak type $(1,1)$ estimates for Marcinkiewicz integrals with rough kernels

Their papers

• Singular Integrals and Related Topics (2007) — 207 citations
• On the compactness of commutators of Hardy operators (2020) — 48 citations
• Weighted multilinear Hardy operators and commutators (2014) — 78 citations
• Sharp bounds for Hardy type operators on higher-dimensional product spaces (2013) — 50 citations
• Sharp estimates of p-adic hardy and Hardy-Littlewood-Pólya operators (2013) — 60 citations
• Sharp bounds for m-linear Hardy and Hilbert Operators (2012) — 114 citations
• Endpoint estimates for n-dimensional Hardy operators and their commutators (2011) — 56 citations
• λ-central BMO estimates for commutators of singular integral operators with rough kernels (2008) — 75 citations
• Characterization for commutators of n-dimensional fractional Hardy operators (2007) — 102 citations
• Boundedness of rough singular integral operatorson the homogeneous Morrey-Herz spaces (2005) — 73 citations
• Boundedness of Commutators on Hardy-Type Spaces (2002) — 71 citations
• On commutators of Marcinkiewicz integrals with rough kernel (2002) — 81 citations
• A problem on rough parametric Marcinkiewicz functions (2002) — 70 citations
• Singular integrals and commutators on homogeneous groups (2002) — 66 citations
• Weighted Boundedness for a Class of Rough Multilinear Operators (2001) — 109 citations
• Homogeneous fractional integrals on Hardy spaces (2000) — 61 citations
• Boundedness of some sublinear operators in weighted Herz-type spaces (2000) — 54 citations