Fatorization of tent spaces and Hankel operators

DOI10.1006/jfan.2000.3589zbMath0968.46022OpenAlexW1967318467MaRDI QIDQ1584564

Igor E. Verbitsky, William S. Cohn

Publication date: 23 September 2001

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3589

zbMATH Keywords

tent spacesBMOAfactorization theoremsTriebel spacesbounded Hankel operatorsCarleson measure theorems

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items (34)

Bilinear forms on weighted Besov spaces ⋮ Weighted tent spaces with Whitney averages: factorization, interpolation and duality ⋮ On the characterization of Triebel-Lizorkin type spaces of analytic functions ⋮ Embedding derivatives and integration operators on Hardy type tent spaces ⋮ Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems ⋮ Embedding theorems and area operators on Bergman spaces with doubling measure ⋮ Tent Spaces over Metric Measure Spaces under Doubling and Related Assumptions ⋮ Wronskians and deep zeros of holomorphic functions ⋮ Volterra type integration operators from Bergman spaces to Hardy spaces ⋮ Calderón reproducing formulas and applications to Hardy spaces ⋮ Carleson perturbations for the regularity problem ⋮ Embedding Bergman spaces into tent spaces ⋮ Two-weight L^p \to L^q bounds for positive dyadic operators in the case 0<q<1\leqp<\infty ⋮ On a Blaschke-type condition for the zeros of derivatives of R. Nevanlinna class functions in the disk ⋮ Generalized integration operators on Hardy spaces ⋮ On some new estimates for integrals of the Lusin’s square function in the unit polydisk ⋮ Average radial integrability spaces, tent spaces and integration operators ⋮ Pointwise products of some Banach function spaces and factorization ⋮ Layer potentials and boundary value problems for elliptic equations with complex \(L^\infty\) coefficients satisfying the small Carleson measure norm condition ⋮ Integration operators on Hardy-Carleson type tent spaces ⋮ Sharp estimates of multilinear operators in the polydisk and the unit ball ⋮ A class of \(\alpha\)-Carleson measures ⋮ The \({\mathcal Q}_p\) Carleson measure problem ⋮ Vectorial Hankel operators, Carleson embeddings, and notions of BMOA ⋮ Triebel‐Lizorkin sequence spaces are genuine mixed‐norm spaces ⋮ Compact embedding derivatives of Hardy spaces into Lebesgue spaces ⋮ The Banach space-valued BMO, Carleson's condition, and paraproducts ⋮ Carleson measures and Toeplitz type operators on Hardy type tent spaces ⋮ Conical square function estimates and functional calculi for perturbed Hodge-Dirac operators in \(L^p\) ⋮ О некоторых новых оценках интегралов функции площадей и аналитических классов типа Бергмана в некоторых областях в Cn ⋮ On two-weight norm inequalities for positive dyadic operators ⋮ Wolff's inequality for intrinsic nonlinear potentials and quasilinear elliptic equations ⋮ The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients ⋮ Embedding theorems for Bergman spaces via harmonic analysis

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