The solution of the Kato problem in two dimensions
From MaRDI portal
Publication:1861096
DOI10.5565/PUBLMAT_Esco02_06zbMath1020.47031MaRDI QIDQ1861096
Alan G. R. McIntosh, Steven Hofmann
Publication date: 21 May 2003
Published in: Publicacions Matemàtiques (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/41610
Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) General theory of partial differential operators (47F05) Linear accretive operators, dissipative operators, etc. (47B44)
Related Items
Quadratic estimates and functional calculi of perturbed Dirac operators ⋮ \(L^p\) theory for the square roots and square functions of elliptic operators having a BMO anti-symmetric part ⋮ 𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets ⋮ Weighted norm inequalities for commutators of the Kato square root of second order elliptic operators on \(\mathbb{R}^n\) ⋮ ON STABILITY OF SQUARE ROOT DOMAINS FOR NON‐SELF‐ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS ⋮ \(A_\infty\) implies NTA for a class of variable coefficient elliptic operators ⋮ Analyticity of layer potentials and \(L^{2}\) solvability of boundary value problems for divergence form elliptic equations with complex \(L^{\infty }\) coefficients ⋮ GENERALIZED LOCAL THEOREMS FOR SQUARE FUNCTIONS ⋮ A local \(Tb\) theorem for square functions in domains with Ahlfors-David regular boundaries ⋮ Dahlberg’s bilinear estimate for solutions of divergence form complex elliptic equations ⋮ Representation and uniqueness for boundary value elliptic problems via first order systems ⋮ The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability ⋮ Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability ⋮ A two weight local \(Tb\) theorem for the Hilbert transform ⋮ Kato square root problem with unbounded leading coefficients ⋮ Extrapolation of Carleson measures and the analyticity of Kato's square-root operators. ⋮ Critical perturbations for second-order elliptic operators. I: Square function bounds for layer potentials ⋮ Recent developments in two weight testing theory ⋮ The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients ⋮ Boundedness and applications of singular integrals and square functions: a survey