Search
Search Results
-
Off-Diagonal Estimates for Bilinear Commutators
We find a minimal notion of non-degeneracy for bilinear singular integral operators T and identify testing conditions on the multiplying function b ...
-
Off-Diagonal Two Weight Bumps for Fractional Sparse Operators
In this paper, we continue some recent work on two weight boundedness of sparse operators to the “off-diagonal” setting. We use the new “entropy...
-
On Singularity of Energy Measures for Symmetric Diffusions with Full Off-Diagonal Heat Kernel Estimates II: Some Borderline Examples
We present a concrete family of fractals, which we call the (two-dimensional) thin scale irregular Sierpiński gaskets and each of which is equipped...
-
Bloom Type Inequality: The Off-Diagonal Case
In this paper, we establish a representation formula for fractional integrals. As a consequence, we get a Bloom type inequality for the...
-
Quantitative Green’s function estimates for lattice quasi-periodic Schrödinger operators
In this paper, we establish quantitative Green’s function estimates for some higher-dimensional lattice quasi-periodic (QP) Schrödinger operators....
-
Two-Sided Heat Kernel Estimates for Symmetric Diffusion Processes with Jumps: Recent Results
This article gives an overview of some recent progress in the study of sharp two-sided estimates for the transition density of a large class of...
-
Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure
In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of...
-
Riesz Transform Estimates: Part I
In this chapter, we characterize the range of exponents p for...
-
Sublevel-Set Estimates Over Global Domains
Since Varchenko’s seminal paper, the asymptotics of oscillatory integrals and related problems have been elucidated through the Newton polyhedra...
-
On Off-Diagonal Ordered Ramsey Numbers of Nested Matchings
For two ordered graphs \(G^<\) and...
-
Strichartz estimates for Maxwell equations in media: the structured case in two dimensions
We prove Strichartz estimates for the two dimensional Maxwell equations with diagonal Lipschitz permittivity of special structure. The estimates have...
-
Upper heat kernel estimates for nonlocal operators via Aronson’s method
In his celebrated article, Aronson established Gaussian bounds for the fundamental solution to the Cauchy problem governed by a second order...
-
-
Riesz Transform Estimates: Part II
We come back to the Riesz transform interval $$\displaystyle...
-
Conservation Properties
In order to extend the operator theory for L to Hardy spaces, we need to guarantee that certain operators f(L) preserve vanishing zeroth moments or...
-
Two Weighted Estimates for the Commutators of Multilinear Maximal Singular Integral Operators with Dini-type Kernels
The main purpose of this paper is to investigate the properties of the higher order commutators of maximal Calderón—Zygmund operators with Dini-type...
-
Estimates of Poisson Kernels for Symmetric Lévy Processes and Their Applications
In this paper, we obtain sharp two-sided estimates of Poisson kernels for pure jump symmetric Lévy processes in C 1,1 open sets. In particular, by...