A local \(Tb\) theorem for square functions and parabolic layer potentials
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Publication:6607088
DOI10.1007/s10114-024-2576-5zbMath1547.42034MaRDI QIDQ6607088
Publication date: 18 September 2024
local \(Tb\) theoremsCarleson measure estimatesCalderón-Littlewood-Paley familyparabolic layer potentials
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Initial-boundary value problems for second-order parabolic equations (35K20) Second-order elliptic equations (35J15)
Cites Work
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- Square function estimates and the Kato problem for second order parabolic operators in \(\mathbb{R}^{n + 1}\)
- Boundedness of single layer potentials associated to divergence form parabolic equations with complex coefficients
- Layer potentials and boundary value problems for elliptic equations with complex \(L^\infty\) coefficients satisfying the small Carleson measure norm condition
- Analyticity of layer potentials and \(L^{2}\) solvability of boundary value problems for divergence form elliptic equations with complex \(L^{\infty }\) coefficients
- \(L^{2}\) solvability of boundary value problems for divergence form parabolic equations with complex coefficients
- Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
- Polynomial growth estimates for multilinear singular integral operators
- Gaussian estimates for fundamental solutions to certain parabolic systems
- The solution of the Kato problem for divergence from elliptic operators with Gaussian heat kernel bounds.
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- The solution of the Kato problem in two dimensions
- \(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficients
- Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients
- The Green function estimates for strongly elliptic systems of second order
- \(H^p\) spaces of several variables
- \(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains
- GENERALIZED LOCAL THEOREMS FOR SQUARE FUNCTIONS
- On the Green's matrices of strongly parabolic systems of second order
- Regularity Theorems and Heat Kernel for Elliptic Operators
- Square Function Estimates and the T(b) Theorem
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