Boyd indices in generalized grand Lebesgue spaces and applications

DOI10.1007/s00009-014-0439-5zbMath1342.46030OpenAlexW2065133051MaRDI QIDQ493332

Maria Rosaria Formica, Raffaella Giova

Publication date: 3 September 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0439-5

zbMATH Keywords

rearrangement invariant spacesinterpolation of operatorsBoyd indicesgrand Lebesgue spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Interpolation between normed linear spaces (46B70)

Related Items (14)

Weak martingale Hardy-type spaces associated with quasi-Banach function lattice ⋮ Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables ⋮ Weighted fully measurable grand Lebesgue spaces and the maximal theorem ⋮ Fully measurable small Lebesgue spaces ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ On local solvability of higher order elliptic equations in rearrangement invariant spaces ⋮ Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups equipped with Haar measure ⋮ Connection between weighted tail, Orlicz, Grand Lorentz and Grand Lebesgue norms ⋮ The method of boundary value problems in the study of the basis properties of perturbed system of exponents in Banach function spaces ⋮ Grand Morrey spaces and grand Hardy-Morrey spaces on Euclidean space ⋮ Martingale transforms and fractional integrals on rearrangement-invariant martingale Hardy spaces ⋮ Fine spectra of the finite Hilbert transform in function spaces ⋮ Bochner-Riesz operators in grand Lebesgue spaces ⋮ Grand quasi Lebesgue spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Grand Lebesgue spaces with respect to measurable functions
• A decomposition of the dual space of some Banach function spaces
• Quasiconformal mappings and sharp estimates for the distance to \(L^\infty\) in some function spaces
• A quantitative estimate for mappings of bounded inner distortion
• The distance to Lip in the space \(C^{0,\alpha}\) of Hölder continuous functions
• Bi-Sobolev mappings and elliptic equations in the plane
• Indices of Banach function spaces and spaces of fundamental type
• Generalized Hardy inequalities in rearrangement invariant spaces
• On the integrability of the Jacobian under minimal hypotheses
• A formula for the Boyd indices in Orlicz spaces
• Inverting the \(p\)-harmonic operator
• The distance to \(L^{\infty }\) in some function spaces and applications
• The distance to \(L^\infty\) in the grand Orlicz spaces
• Indices for the Orlicz spaces
• On the regularity theory of bi-Sobolev mappings
• Change of variables for A_\infty weights by means of quasiconformal mappings
• The maximal theorem for weighted grand Lebesgue spaces
• A generalization of the Shimogaki theorem
• Weak minima of variational integrals.
• Interpolation between 𝐿₁ and 𝐿_{𝑝},1<𝑝<∞
• The Grand Sobolev Homeomorphisms and Their Measurability Properties
• Quasiconformal mappings and exponentially integrable functions
• Spaces Between a Pair of Reflexive Lebesgue Spaces
• The distance in BMO to \(L^\infty\)

This page was built for publication: Boyd indices in generalized grand Lebesgue spaces and applications