Some new function spaces and their applications to Harmonic analysis

1985/06/01 by R.R Coifman, Ronald R. Coifman, Yves Meyer +3 · 48 citations
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems

paper · doi:10.1016/0022-1236(85)90007-2

Citations

• Hp spaces of several variables
• Parabolic maximal functions associated with a distribution, II
• Some Maximal Inequalities

Cited by

• Nearly weakly orthonormal sequences, singular value estimates, and Calderon-Zygmund operators
• Density-dependent incompressible Navier--Stokes equations in critical tent spaces
• Recovering Hardy spaces from optimal domains of integration operators
• Lusin characterisation of Hardy spaces associated with Hermite operators
• Mapping properties of operator-valued pseudo-differential operators
• Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
• On characterization of Poisson integrals of Schrodinger operators with BMO traces
• An alternative proof of the L^p-regularity problem for Dahlberg-Kenig-Pipher operators on \mathbb Rⁿ₊
• A new scale of function spaces characterizing homogeneous Besov spaces
• Harmonic functions, conjugate harmonic functions and the Hardy space H¹ in the rational Dunkl setting
• A new proof for Koch and Tataru's result on the well-posedness of Navier-Stokes equations in BMO^-1
• Potential maps, Hardy spaces, and tent spaces on special Lipschitz domains
• Volterra type integration operators from Bergman spaces to Hardy spaces
• Non-tangential maximal functions and conical square functions with\n respect to the Gaussian measure
• Weighted tent spaces with Whitney averages: factorization, interpolation and duality
• Generalized Vanishing Mean Oscillation Spaces Associated with Divergence Form Elliptic Operators
• New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets
• Square function/non-tangential maximal function estimates and the\n dirichlet problem for non-symmetric elliptic operators
• Weighted Local Orlicz-Hardy Spaces on Domains and Their Applications in Inhomogeneous Dirichlet and Neumann Problems
• Layer potentials and boundary value problems for elliptic equations with complex L^∞ coefficients satisfying the small Carleson measure norm condition
• L² estimates for commutators of the Dirichlet-to-Neumann Map associated to elliptic operators with complex-valued bounded measurable coefficients on ℝⁿ⁺¹₊
• Tent Carleson measures for Hardy spaces
• Preduals of quadratic Campanato spaces associated to operators with heat kernel bounds
• Interpolation and Sampling in Analytic Tent Spaces
• Riesz Transform Characterizations of Hardy Spaces Associated to Degenerate Elliptic Operators
• Operator-valued Triebel-Lizorkin spaces
• On Tent Spaces for the Gaussian Measure
• The closure of derivative tent spaces in the logarithmic Bloch-type norm
• Second order elliptic operators with complex bounded measurable\n coefficients in L^p, Sobolev and Hardy spaces
• Equivalence between solvability of the Dirichlet and Regularity problem under an L¹ Carleson condition on ∂_t A
• Banach algebra structure in Hardy-Carleson type tent spaces and Cesàro-like operators
• The Regularity problem for second order elliptic operators with\n complex-valued bounded measurable coefficients
• Regularity theory for solutions to second order elliptic operators with complex coefficients and the L^p Dirichlet problem
• Operator-valued local Hardy spaces
• The Hardy spaces H^p_FIO(ℝⁿ) for Fourier integral operators for p<1
• Musielak-Orlicz Hardy Spaces Associated with Operators and Their Applications
• Littlewood-Paley Characterizations of Hardy-type Spaces Associated with Ball Quasi-Banach Function Spaces
• On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces
• An H1-BMO duality theory for semigroups of operators
• Characterization of temperatures associated to Schrodinger operators with initial data in BMO spaces
• A modulation invariant Carleson embedding theorem outside local L²
• Harmonic Analysis on chord arc domains
• Hardy and BMO spaces associated to divergence form elliptic operators
• New Orlicz-Hardy Spaces Associated with Divergence Form Elliptic Operators
• Harmonic functions on the real hyperbolic ball II Hardy and Lipschitz spaces
• Wavelets and Triebel type oscillation spaces
• Maximal Function Characterizations of Variable Hardy Spaces Associated with Non-negative Self-adjoint Operators Satisfying Gaussian Estimates
• A new version of Carleson measure associated with Hermite operator. [europepmc]