Lixin Yan

Applied Mathematics · 2005–2015

A researcher in the Science corpus: 17 papers; trusts 25 researchers and is trusted by 42 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 133 citations into it; #321 of 7,620 by trust here, #255 by citations
• Mathematical Physics — 103 citations into it; #638 of 8,562 by trust here, #515 by citations
• Computational Theory and Mathematics — 21 citations into it
• Statistics and Probability — 15 citations into it

Whom Lixin Yan trusts overall

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

1. Xuan Thinh Duong
2. P. Auscher
3. J. M. Martell
4. El-Maati Ouhabaz
5. D. Deng
6. S. Hofmann
7. Adam S. Sikora
8. T. Coulhon
9. Sönke Blunck
10. Loukas Grafakos

Who trusts Lixin Yan overall

1. Dachun Yang
2. Renjin Jiang
3. Xuan Thinh Duong
4. Sibei Yang
5. D. Deng
6. S. Hofmann
7. H. Bui
8. Ji Li
9. The Anh Bui
10. Yuan Zhou

Papers from Lixin Yan's perspective

Ordered by how strongly the researchers Lixin Yan trusts endorse each paper. Same corpus, a different order for every researcher.

1. Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains
2. Hardy and BMO spaces associated to divergence form elliptic operators
3. Plancherel Type Estimates and Sharp Spectral Multipliers
4. Classical and modern Fourier analysis
5. FUNCTIONS OF BOUNDED MEAN OSCILLATION
6. Imaginary powers of Laplace operators
7. Weak type (p,p) estimates for Riesz transforms
8. Hardy Sobolev spaces on strongly Lipschitz domains of Rn
9. Perturbation theory for linear operators
10. Spectral multipliers for Markov chains

Their papers

• A MAXIMAL FUNCTION CHARACTERIZATION FOR HARDY SPACES ASSOCIATED TO NONNEGATIVE SELF-ADJOINT OPERATORS SATISFYING GAUSSIAN ESTIMATES (2015) — 63 citations
• Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means (2012) — 84 citations
• Calderón reproducing formulas and new Besov spaces associated with operators (2012) — 81 citations
• Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates (2011) — 351 citations
• Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers (2010) — 55 citations
• Riesz transforms associated to Schrdinger operators on weighted Hardy spaces (2010) — 72 citations
• Boundary value problems for the Laplacian in convex and semiconvex domains (2010) — 53 citations
• Maximal Operator for Multilinear Singular Integrals with Non-smooth Kernels (2009) — 53 citations
• Multilinear operators with non-smooth kernels and commutators of singular integrals (2009) — 79 citations
• Fourier spectrum characterization of Hardy spaces and applications (2008) — 61 citations
• Classes of Hardy spaces associated with operators, duality theorem and applications (2008) — 101 citations
• Old and New Morrey Spaces with Heat Kernel Bounds (2007) — 106 citations
• COMPARISON OF THE CLASSICAL BMO WITH THE BMO SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS (2006) — 48 citations
• Endpoint estimates for Riesz transforms of magnetic Schrödinger operators (2006) — 63 citations
• New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications (2005) — 258 citations
• A characterization of the Morrey-Campanato spaces (2005) — 53 citations
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains (2005) — 373 citations