Interpolation of bilinear operators between quasi-Banach spaces

DOI10.1007/s11117-005-0034-xzbMath1121.46018OpenAlexW2070773288MaRDI QIDQ850597

Loukas Grafakos, Mieczyslaw Mastylo

Publication date: 3 November 2006

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0034-x

zbMATH Keywords

interpolationbilinear operatorsquasi-Banach spacesLorentz-Zygmund spacesCalderón-Lozanovski spacesmultilinear interpolation

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items

Bilinear interpolation theorems and applications ⋮ Bilinear oscillatory integrals and boundedness for new bilinear multipliers ⋮ Regularity results for rough solutions of the incompressible Euler equations via interpolation methods ⋮ Calderón-Lozanovskii interpolation on quasi-Banach lattices ⋮ Interpolation of multilinear operators acting between quasi-Banach spaces ⋮ Use of abstract Hardy spaces, real interpolation and applications to bilinear operators ⋮ New Young inequalities and applications ⋮ A general one-sided compactness result for interpolation of bilinear operators ⋮ Generalized quasi-Banach sequence spaces and measures of noncompactness

Cites Work

• Unnamed Item
• On interpolation of some quasi-Banach spaces
• On interpolation of bilinear operators by the real method
• Commutateurs d'intégrales singulières et opérateurs multilinéaires
• \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
• On Calderón's conjecture
• Multilinear estimates and fractional integration
• On interpolation of bilinear operators
• On a class of interpolation spaces
• The Marcinkiewicz multiplier condition for bilinear operators
• Plurisubharmonic functions on quasi-Banach spaces
• Interpolation of Banach lattices
• Convexity conditions for non-locally convex lattices
• Interpolation of Orlicz spaces
• A function parameter in connection with interpolation of Banach spaces.
• A multilinear interpolation theorem
• Intermediate spaces and interpolation, the complex method
• Interpolation of r-Banach spaces
• Interpolation methods of means and orbits
• Multilinear Calderón-Zygmund operators on Hardy spaces
• Bilinear operators with non-smooth symbol. I

This page was built for publication: Interpolation of bilinear operators between quasi-Banach spaces