Boundedness and applications of singular integrals and square functions: a survey
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Publication:3143711
DOI10.1007/s13373-011-0014-3zbMath1255.42016OpenAlexW2141242553MaRDI QIDQ3143711
Steven Hofmann, Alan G. R. McIntosh
Publication date: 3 December 2012
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13373-011-0014-3
Boundary value problems for second-order elliptic equations (35J25) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) General theory of partial differential operators (47F05) Linear accretive operators, dissipative operators, etc. (47B44)
Related Items
𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets ⋮ Rough metrics on manifolds and quadratic estimates ⋮ Boundedness of single layer potentials associated to divergence form parabolic equations with complex coefficients ⋮ The \(L^2\)-boundedness of the variational Calderón-Zygmund operators ⋮ Maximal sectorial operators and invariant operator ranges ⋮ GENERALIZED LOCAL THEOREMS FOR SQUARE FUNCTIONS ⋮ Weighted norm inequality for the singular integral with variable kernel and fractional differentiation ⋮ Comparison of $T1$ conditions for multi-parameter operators ⋮ Functional calculus and harmonic analysis in geometry ⋮ The Kato square root problem on vector bundles with generalised bounded geometry
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