29 citations · 157 across the 30 of their papers we have counts for
30 papers
Balanced measures, sparse domination and complexity-dependent weight classes
José M. Conde-Alonso, Jill Pipher, Nathan A. Wagner
We study sparse domination for operators defined with respect to an atomic filtration on a space equipped with a general measure . In the case of Haar shifts, -boundedness…
Boundary value problems for elliptic operators satisfying Carleson condition
Martin Dindoš, Jill Pipher
In this paper we present in concise form recent results, with illustrative proofs, on solvability of the Dirichlet, Regularity and Neumann problems for scalar elliptic equati…
Regularity and Neumann problems for operators with real coefficients satisfying Carleson condition
Martin Dindoš, Steve Hofmann, Jill Pipher
In this paper, we continue the study of a class of second order elliptic operators of the form $\mathcal L=\mbox{div}(A\nabla\cdot)$ in a domain above a Lipschitz graph in $\mathbb…
Sparse bounds for the bilinear spherical maximal function
Tainara Borges, Benjamin Foster, Yumeng Ou +2
We derive sparse bounds for the bilinear spherical maximal function in any dimension . When , this immediately recovers the sharp bound of…
The -ellipticity condition for second order elliptic systems and applications to the Lamé and homogenisation problems
Martin Dindoš, Jungang Li, Jill Pipher
The notion of -ellipticity has recently played a significant role in improving our understanding of issues of solvability of boundary value problems for scalar complex valued el…
Extrapolation of the Dirichlet problem for elliptic equations with complex coefficients
Martin Dindoš, Jill Pipher
In this paper, we prove an extrapolation result for complex coefficient divergence form operators that satisfy a strong ellipticity condition known as -{\it ellipticity}. Specif…