Real interpolation of compact bilinear operators

DOI10.1007/s00041-017-9561-7zbMath1407.46019OpenAlexW2755291829MaRDI QIDQ1783690

Luz M. Fernández-Cabrera, Antón Martínez

Publication date: 21 September 2018

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-017-9561-7

zbMATH Keywords

real interpolationconvolution operatorscompact bilinear operatorscommutators of bilinear Calderón-Zygmund operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators defined by compactness properties (47B07) Interpolation between normed linear spaces (46B70) Multilinear and polynomial operators (47H60)

Related Items (14)

Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces ⋮ Interpolation estimates of the measure of noncompactness for multilinear mappings ⋮ Weakly compact bilinear operators among real interpolation spaces ⋮ On interpolation of weakly compact bilinear operators ⋮ A class of multilinear bounded oscillation operators on measure spaces and applications ⋮ Measures of noncompactness of interpolated polynomials ⋮ On compactness results of Lions-Peetre type for bilinear operators ⋮ Closed surjective ideals of multilinear operators and interpolation ⋮ On function spaces of Lorentz-Sobolev type ⋮ A compactness result of Janson type for bilinear operators ⋮ Interpolation of the measure of noncompactness of bilinear operators ⋮ On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator ⋮ Compactness interpolation results for bilinear operators of convolution type and for operators of product type ⋮ Interpolation of compact bilinear operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the relationship between two kinds of Besov spaces with smoothness near zero and some other applications of limiting interpolation
• Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators
• Compactness of the commutator of bilinear Fourier multiplier operator
• Real interpolation with logarithmic functors.
• Interpolation of compactness using Aronszajn-Gagliardo functors
• On interpolation of Banach algebras and factorization of weakly compact homomorphisms
• Real interpolation and compact linear operators
• Interpolation of bilinear operators and compactness
• Theory of function spaces II
• On an extreme class of real interpolation spaces
• Reiteration theorems for real interpolation and approximation spaces
• Minimal and maximal methods of interpolation
• Real and complex interpolation and extrapolation of compact operators
• One-sided compactness results for Aronszajn-Gagliardo functors
• Multilinear Calderón-Zygmund theory
• Compact linear mappings between interpolation spaces
• Multilinear forms of Hilbert type and some other distinguished forms
• On a class of interpolation spaces
• Convolution operators and L(p, q) spaces
• Interpolation by the real method preserves compactness of operators
• Compact bilinear operators and commutators
• Interpolation with a parameter function.
• Interpolation theory and measures of non‐compactness
• Multilinear weak type interpolation of m n-tuples with applications
• A function parameter in connection with interpolation of Banach spaces.
• Real Interpolation with Logarithmic Functors and Reiteration
• Compact operators between K- and J-spaces
• On a paper of Edmunds and Opic on limiting interpolation of compact operators between spaces
• On interpolation properties of compact bilinear operators
• Abstract K and J spaces and measure of non‐compactness
• Intermediate spaces and interpolation, the complex method
• Estimates for the spectrum on logarithmic interpolation spaces

This page was built for publication: Real interpolation of compact bilinear operators