Riesz transforms in the absence of a preservation condition, with applications to the Dirichlet Laplacian

DOI10.1016/j.jmaa.2017.12.001zbMath1470.42022OpenAlexW2771486741MaRDI QIDQ1688848

Joshua Peate

Publication date: 11 January 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.12.001

zbMATH Keywords

harmonic analysisRiesz transformsDirichlet Laplacian

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential and Fourier integral operators on manifolds (58J40) Other transformations of harmonic type (42C20) Heat kernel (35K08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• On the parabolic kernel of the Schrödinger operator
• The equivalence of certain heat kernel and Green function bounds
• Singular integral operators with non-smooth kernels on irregular domains
• Fractional powers of dissipative operators
• The boundary behavior of heat kernels of Dirichlet Laplacians
• Perturbation theory for linear operators.
• The global behavior of heat kernels in exterior domains
• Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
• Semigroup kernels, Poisson bounds, and holomorphic functional calculus
• The solution of Kato's conjectures
• Riesz transforms for
• Quintic NLS in the exterior of a strictly convex obstacle
• Riesz transform on manifolds and heat kernel regularity
• On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
• Riesz transforms for $1\le p\le 2$
• Estimates in L^p for magnetic Schrodinger operators
• Estimates on the Dirichlet heat kernel of domains above the graphs of bounded C1,1 functions
• Dirichlet heat kernel in the exterior of a compact set

This page was built for publication: Riesz transforms in the absence of a preservation condition, with applications to the Dirichlet Laplacian