Wavelets and singular integrals on curves and surfaces
From MaRDI portal
Publication:1189457
DOI10.1007/BFb0091544zbMath0764.42019OpenAlexW1580461919MaRDI QIDQ1189457
Publication date: 23 January 1993
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bfb0091544
Riesz basisparaproductsmultiresolution analysesHaar basis\(T(b)\)-theoremCauchy-integral on Lipschitz curvesorthogonal wavelet basesparaaccretive functionssingular integral operators on curves and surfaces
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02)
Related Items
Nonnegative kernels and 1-rectifiability in the Heisenberg group, Rectifiable measures, square functions involving densities, and the Cauchy transform, The traveling salesman theorem in Carnot groups, Functional calculus for a class of complex elliptic operators in dimension one (and applications to some complex elliptic equations in dimension two)., Vertical perimeter versus horizontal perimeter, Two phase free boundary problem for Poisson kernels, Singular integrals on \(C^{1, \alpha}\) regular curves in Carnot groups, Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials, Coronizations and big pieces in metric spaces, Necessary condition for the L2 boundedness of the Riesz transform on Heisenberg groups, Quantitative decompositions of Lipschitz mappings into metric spaces, Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot groups, Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets, Small-constant uniform rectifiability, Principal values for the signed Riesz kernels of non-integer dimension, $L^p$ estimates for the variation for singular integrals on uniformly rectifiable sets, \(L^2\)-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type, A Hilbert-space approach to hankel transformable distributions, The high frequency behaviour of continuous wavelet transforms, Cauchy independent measures and almost-additivity of analytic capacity, Conditions quantitatives de rectifiabilité, Marcinkiewicz-Zygmund measures on manifolds, Measures that define a compact Cauchy transform, Variation for the Riesz transform and uniform rectifiability, Distribution of points and Hardy type inequalities in spaces of homogeneous type, \(L^2\)-boundedness of the Cauchy integral operator for continuous measures, The Riesz Transform of Codimension Smaller Than One and the Wolff Energy, A criterion for uniform approximability of individual functions by solutions of second-order homogeneous elliptic equations with constant complex coefficients, Unnamed Item, Quantitative comparisons of multiscale geometric properties, Diameter bounded equal measure partitions of Ahlfors regular metric measure spaces, Geometric conditions for the \(L^2\)-boundedness of singular integral operators with odd kernels with respect to measures with polynomial growth in \(\mathbb{R}^d\), A parabolic version of corona decompositions, The Cauchy integral operator on the predual of a Morrey space, Fourier analysis on starlike Lipschitz surfaces, High-dimensional Menger-type curvatures. I: Geometric multipoles and multiscale inequalities, Poisson kernel characterization of Reifenberg flat chord arc domains, The traveling salesman problem in the Heisenberg group: Upper bounding curvature, Square functions and uniform rectifiability, \(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability, Bi-Lipschitz decomposition of Lipschitz functions into a metric space, Convergence of singular integrals with general measures, Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals, Pseudodifferential calculus on noncommutative tori, II. Main properties, Compactness, or lack thereof, for the harmonic double layer, Uniform approximation of functions by solutions of second order homogeneous strongly elliptic equations on compact sets in, Weighted Cauchy transforms in Clifford analysis
