Interpolation of Weighted and Vector-Valued Hardy Spaces
From MaRDI portal
Publication:4300921
DOI10.2307/2154519zbMath0806.46026OpenAlexW4256467588MaRDI QIDQ4300921
Quanhua Xu, Sergei V.Kislyakov
Publication date: 22 August 1994
Full work available at URL: https://doi.org/10.2307/2154519
Hardy spaceBanach latticeHilbert transformBMOreal and complex interpolation methods\(A_ p\)-weightquasi-Banach lattices of measurable functions
Spaces of vector- and operator-valued functions (46E40) (H^p)-spaces (42B30) Interpolation between normed linear spaces (46B70) Banach spaces of continuous, differentiable or analytic functions (46E15) Abstract interpolation of topological vector spaces (46M35)
Related Items
Stafney’s lemma holds for several “classical” interpolation methods ⋮ Stability of approximation under the action of singular integral operators ⋮ Vector-valued boundedness of harmonic analysis operators ⋮ Real interpolation of Hardy-type spaces. An announcement with some remarks ⋮ Two remarks on the relationship between BMO-regularity and analytic stability of interpolation for lattices of measurable functions ⋮ BMO-regularity in lattices of measurable functions on spaces of homogeneous type ⋮ Remarks on BMO-regularity and AK-stability ⋮ Structural rigidity of generalised Volterra operators on \(H^p\) ⋮ Double singular integrals: Interpolation and correction ⋮ \(J\)-closed finite collections of Hardy-type subspaces ⋮ Local Hardy spaces and summability of Fourier transforms ⋮ A variant of Yano's extrapolation theorem on Hardy spaces ⋮ Real interpolation of Hardy-type spaces and BMO-regularity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some remarks on Banach spaces in which martingale difference sequences are unconditional
- Interpolation between \(H^ p\) spaces and non-commutative generalizations. I
- New Banach space properties of the disc algebra and \(H^{\infty}\)
- Complex interpolation of some quasi-Banach spaces
- Interpolation between vector-valued Hardy spaces
- Notes on interpolation of Hardy spaces
- A simple proof of a theorem of Jean Bourgain
- Interpolation between \(H^ p \)spaces: The complex method
- Bilinear Forms on H ∞ and Bounded Bianalytic Functions
- Weighted inequalities for vector-valued maximal functions and singular integrals
- Interpolation Between Weighted Hardy Spaces
- Weighted norm inequalities for maximal functions and singular integrals
- Factorization of Analytic Functions with Values in Non-Commutative L1-spaces and Applications
- Interpolation Between H p Spaces: The Real Method
- Intermediate spaces and interpolation, the complex method
- The Spectrum of an Operator on an Interpolation Space
