Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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Publication:5588003
DOI10.1515/9781400881871zbMath0193.10502OpenAlexW4235139951MaRDI QIDQ5588003
Publication date: 1970
Full work available at URL: https://doi.org/10.1515/9781400881871
Maximal functions, Littlewood-Paley theory (42B25) Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis (43-02) Abstract harmonic analysis (43Axx)
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I, Vector-valued Fourier multipliers on symmetric spaces of the noncompact type, Doob's inequality, Burkholder-Gundy inequality and martingale transforms on martingale Morrey spaces, Parabolic equations involving Bessel operators and singular integrals, Littlewood-Paley theory for triangle buildings, Iterates of a product of conditional expectation operators, Spectral properties of Laplacians on an abstract Wiener space with a weighted Wiener measure, On the span of some three valued martingale difference sequences in \(L^ p\) \((1<p<\infty)\) and \(H^ 1\), The heat semigroup and integrability of Lie algebras, Pointwise ergodic theorems for radial averages on the Heisenberg group, On operators with bounded imaginary powers in Banach spaces, Uniform and \(L^ 2\) convergence in one dimensional stochastic Ising models, Bounded orthogonal systems and the \(\Lambda\) (p)-set problem, Riesz transform and \(g\)-function associated with Bessel operators and their appropriate Banach spaces, Khinchin's inequality and the zeroes of Bloch functions, On \(L^ p\) spectral multipliers for a solvable Lie group, Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds, A sharp weighted transplantation theorem for Laguerre function expansions, Hardy spaces on compact Lie groups, Operators associated with the Hermite semigroup - a survey, The heat kernel for generalized Heisenberg groups, Mixed norm estimates for the Riesz transforms on the Heisenberg group, Besov spaces and Sobolev spaces on a nilpotent Lie group, Noncommutative Burkholder/Rosenthal inequalities, Supports of holomorphic convolution semigroups and densities of symmetric convolution semigroups on a locally compact group, Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\), Nikolskii inequality and functional classes on compact Lie groups, Functional calculus and square functions in noncommutative \(L^{p}\)-spaces., Spectra of singular measures as multipliers on \(L^ p\)., Aspects of probabilistic Littlewood-Paley theory, Comportement asymptotique des solutions d'équations elliptiques semi-linéaires dans \(\mathbb R^ N\), Construction of a unique self-adjoint generator for a symmetric local semigroup, Riesz transforms on compact Lie groups, spheres and Gauss space, La \(g\)-fonction de Littlewood-Paley associée à un opérateur différentiel singulier sur \((0,\infty)\). 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Meyer equivalence of norms, Functional calculus for the Ornstein-Uhlenbeck operator, The construction of single wavelets in \(D\)-dimensions., Vector valued \(q\)-variation for ergodic averages and analytic semigroups, On the maximal inequalities of Burkholder, Davis and Gundy, Littlewood–Paleyg-function associated with the Weinstein operator, Riesz transforms on variable Lebesgue spaces with Gaussian measure, Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials, q-Littlewood-Paley g-function, Homogeneous algebras via heat kernel estimates, From the Littlewood-Paley-Stein inequality to the Burkholder-Gundy inequality, Estimates for vector-valued holomorphic functions and Littlewood–Paley–Stein theory, A General Multiplier Theorem, Uniformly contractive semigroups and submarkovian semigroups (I), Individual ergodic theorem for unitary maps of random matrices, Semigruppi negli spazi di Banach, Rs-bounded H∞-calculus for sectorial operators via generalized Gaussian estimates, Spectral multipliers of Laplace transform type for the Laguerre operator, Dimension free bounds for the Hardy–Littlewood maximal operator associated to convex sets, On Maximal Inequalities for Purely Discontinuous Martingales in Infinite Dimensions, A Short Proof of Stein’s Universal Multiplier Theorem, Unnamed Item, Inequalities for Sums of Independent Random Variables, Riesz means on Lie groups and riemannian manifolds of nonnegative curvature, OptimalL∞decay for solutions to the wave equation with a potential, Abstract Stein Interpolation, Almost Everywhere Convergence of Vilenkin-Fourier Series, The Littlewood-Paley Theory for Jacobi Expansions, Smooth Fourier multipliers in group algebras via Sobolev dimension, The Lp- LqEstimates for the Wave Equation with A nonnegative Potential, Unnamed Item, On the A.E. Convergence of Walsh-Kaczmarz-Fourier Series, Almost Everywhere Summability on Nilmanifolds, Semigroups of Multipliers Associated with Semigroups of Operators, Estimation des fonctions de Littlewood-Paley-Stein sur les variétés riemanniennes à courbure non positive, Multipliers of Laplace transform type for ultraspherical expansions, On Discrete Hardy–Littlewood Maximal Functions over the Balls in $${\boldsymbol {\mathbb {Z}^d}}$$ : Dimension-Free Estimates, Non-uniform Kozlov–Treschev averagings in the ergodic theorem, HARDY SPACES ON METRIC MEASURE SPACES WITH GENERALIZED SUB-GAUSSIAN HEAT KERNEL ESTIMATES, Littlewood–Paley decomposition in quantum calculus, Explorations of the infinite regions of spacetime, On Fourier Multiplier Transformations of Banach-Valued Functions, Commutative subalgebra of 𝐿¹(𝐺) associated with a subelliptic operator on a Lie group 𝐺, Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds, Strong variational and jump inequalities in harmonic analysis, A Markov dilation for self-adjoint Schur multipliers, Noncommutative strong maximals and almost uniform convergence in several directions, Multipliers for semigroups, Analysis of Viscous Fluid Flows: An Approach by Evolution Equations, A reduction method for noncommutative 𝐿_{𝑝}-spaces and applications, Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem, Kelvin transform for α-harmonic functions in regular domains, Harmonic Analysis and Ultracontractivity, Weinstein multipliers of Laplace transform type, On one-parameter proofs of almost sure convergence of multiparameter processes, Alternating Sequences and Induced Operators, Estimations C1 pour des problèmes paraboliques semi-linéaires, Sectorialness of Second Order Elliptic Operators in Divergence Form, On sectoriality of degenerate elliptic operators, Nonlinear Fourier analysis, H 1-estimates of Littlewood-Paley and Lusin functions for Jacobi analysis, Spectral Multipliers on Lie Groups of Polynomial Growth, An interpolation of operators in the martingale $H_p$-spaces, Global behaviour and symmetry properties of singular solutions of nonlinear elliptic equations, Extended L p Dirichlet Spaces, Harmonic Analysis and Pointwise Ergodic Theorems for Noncommuting Transformations, The Stochastic Mechanics of the Pauli Equation, Ornstein–Uhlenbeck operators and semigroups, ON THE DOMAIN OF NONSYMMETRIC ORNSTEIN–UHLENBECK OPERATORS IN BANACH SPACES, Some problems related to Gibbs states, canonical Gibbs states and Markovian time evolutions, Extension Problem and Harnack's Inequality for Some Fractional Operators, Hardy–Littlewood–Sobolev type inequalities associated with the Weinstein operator, Riesz transform and related inequalities on non‐compact Riemannian manifolds, Generalization of von Neumann's spectral sets and integral representation of operators, Problems in harmonic analysis related to curvature, Multivariate random fields and their zero sets, SOME CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH TWISTED CONVOLUTION, ON LITTLEWOOD–PALEY FUNCTIONS ASSOCIATED WITH THE DUNKL OPERATOR, Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrodinger operators, On Rearrangements of Vilenkin-Fourier Series which Preserve almost Everywhere Convergence, Weyl multipliers and bounded operators onL p, Fractional integrals for the Weinstein operator, Boundedness of bi-parameter Littlewood-Paley $g_{\lambda}^*$-function on Hardy spaces, Higher order Riesz transforms on noncompact symmetric spaces, Some results in harmonic analysis in 𝐑ⁿ, for 𝐧→∞, Hardy, Littlewood and probability, Boundedness of Differential Transforms for Heat Semigroups Generated by Schrödinger Operators, Estimates for functions of the Laplace operator on homogeneous trees, Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type, A remark on Littlewood-Paley theory for the distorted Fourier transform, A noncommutative version of the John-Nirenberg theorem, On Riesz transforms and maximal functions in the context of Gaussian Harmonic Analysis, Noncommutative maximal ergodic theorems, Maximal functions and transference for groups of operators, The maximal operator of a normal Ornstein-Uhlenbeck semigroup is of weak type (1,1), On Pisier’s inequality for UMD targets, Unnamed Item, Nontangential Maximal Functions Over Compact Riemannian Manifolds, Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space, About the $L^2$ analyticity of Markov operators on graphs, On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective, Potential Spaces on Lie Groups, LpEstimates for the wave equation with a potential, Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting, Square roots of the Bessel operators and the related Littlewood–Paley estimates, Boundedness and applications of singular integrals and square functions: a survey, On rearrangements of Walsh-Fourier series and Hardy-Littlewood type maximal inequalities, Hardy spaces and a Walsh model for bilinear cone operators, Block bases of the Haar system as complemented subspaces of $L{\textunderscore }p$, $2<p<\infty $
