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- Yongsheng Han, Guozhen Lu
- 2008

The main purpose of this paper is to briefly review the earlier works of multiparameter Hardy space theory and boundedness of singular integral operators on such spaces defined on product of… (More)

- Guozhen Lu
- 1996

This paper proves Harnack’s inequality for solutions to a class of quasilinear subelliptic differential equations. The proof relies on various embedding theorems into nonisotropic Lipschitz and BMO… (More)

- Bruno Franchi, Guozhen Lu, Richard L. Wheeden
- 1995

The purpose of this note is to study the relationship between the validity of L1 versions of Poincaré’s inequality and the existence of representation formulas for functions as (fractional) integral… (More)

- Guozhen Lu
- 2007

The main part of this note is to show a general covering lemma in Rn, n 2 2 , with the aim to obtain the estimate for BMO norm and the volume of a nodal set of eigenfunctions on Riemannian manifolds.… (More)

We obtain (weighted) Poincaré type inequalities for vector fields satisfying the Hörmander condition for p < 1 under some assumptions on the subelliptic gradient of the function. Such inequalities… (More)

- Guozhen Lu, Yunyan Yang
- 2008

Let Ω ⊂ R4 be a smooth oriented bounded domain, H 2 0 (Ω) be the Sobolev space, and λ(Ω) = inf u∈H 2 0 (Ω),‖u‖2=1 ‖ u‖ 2 2 be the first eigenvalue of the bi-Laplacian operator 2. Then for any α: 0 α… (More)

- Guozhen Lu, Peiyong Wang
- 2008

We present the theory of the viscosity solutions of the inhomogeneous infinity Laplace equation ∂xi u∂xj u∂ 2 xixj u = f in domains in Rn. We show existence and uniqueness of a viscosity solution of… (More)

- Yongping Liu, Guozhen Lu, Richard L. Wheeden
- 2002

Recently, in the article [LW], the authors use the notion of polynomials inmetric spaces (S, ρ, μ) of homogeneous type (in the sense of Coifman-Weiss) to prove a relationship between high order… (More)

- Yingbo Han, Guozhen Lu, Kaibin Zhao
- 2009

In this paper we establish a discrete Calderón’s identity which converges in both Lq(Rn+m) (1 < q < ∞) and Hardy space H(R × R) (0 < p ≤ 1). Based on this identity, we derive a new atomic… (More)

- Guozhen Lu, Peiyong Wang
- 2008

The inhomogeneous normalized infinity Laplace equation was derived from the tug-of-war game in [PSSW] with the positive right-hand-side as a running payoff. The existence, uniqueness and comparison… (More)