The Kato problem for operators with weighted ellipticity

DOI10.1090/S0002-9947-2015-06131-5zbMath1326.47051OpenAlexW1971715939MaRDI QIDQ5247017

Cristian Rios, David V. Cruz-Uribe

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2015-06131-5

zbMATH Keywords

elliptic operatorsfunctional calculusweighted norm inequalitiesKato problem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Second-order elliptic equations (35J15) Weak solutions to PDEs (35D30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (8)

On the Kato problem and extensions for degenerate elliptic operators ⋮ The regularity problem for degenerate elliptic operators in weighted spaces ⋮ Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains ⋮ The weighted Kato square root problem of elliptic operators having a BMO anti-symmetric part ⋮ Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations ⋮ Conical square functions for degenerate elliptic operators ⋮ Vertical square functions and other operators associated with an elliptic operator ⋮ Riesz transform characterizations of Hardy spaces associated to degenerate elliptic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gaussian bounds for degenerate parabolic equations
• A remark on a Harnack inequality for dengerate parabolic equations
• Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs
• Fractional powers of dissipative operators
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• The functional calculus for sectorial operators
• Weighted norm inequalities, off-diagonal estimates and elliptic operators. II: Off-diagonal estimates on spaces of homogeneous type
• The solution of the Kato problem for degenerate elliptic operators with Gaussian bounds
• Weighted Sobolev Spaces and Pseudodifferential Operators with Smooth Symbols
• The local regularity of solutions of degenerate elliptic equations
• The 𝐿^{𝑝}-integrability of the partial derivatives of a quasiconformal mapping

This page was built for publication: The Kato problem for operators with weighted ellipticity