Some reiteration theorems for \(\mathscr{R}\), \(\mathscr{L}\), \(\mathscr{R}\mathscr{R}\), \(\mathscr{R}\mathscr{L}\), \(\mathscr{L}\mathscr{R}\), and \(\mathscr{L}\mathscr{L}\) limiting interpolation spaces

DOI10.1155/2021/8513304zbMath1483.46020OpenAlexW3191385822MaRDI QIDQ1981856

Leo R. Ya. Doktorski

Publication date: 7 September 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/8513304

zbMATH Keywords

limiting interpolation spacesreiteration theoremsgrand Lorentz spacessmall Lorentz spaces

Mathematics Subject Classification ID

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

Related Items (3)

Some examples of equivalent rearrangement‐invariant quasi‐norms defined via f∗$f^*$ or f∗∗$f^{**}$ ⋮ Holmstedt's formula for the K‐functional: the limit case θ0=θ1$\theta _0=\theta _1$ ⋮ Reiteration theorem for \(\mathcal{R}\) and \(\mathcal{L}\)-spaces with the same parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Characterization of interpolation between grand, small or classical Lebesgue spaces
• Some interpolation formulae for grand and small Lorentz spaces
• A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space
• Reiteration formulae for the real interpolation method including \(\mathcal{L}\) or \(\mathcal{R}\) limiting spaces
• General reiteration theorems for \(\mathcal{R}\) and \(\mathcal{L}\) classes: case of left \(\mathcal{R} \)-spaces and right \(\mathcal{L} \)-spaces
• General Holmstedt's formulae for the \(K\)-functional
• Reiteration theorems for the K -interpolation method in limiting cases
• REAL INTERPOLATION WITH SYMMETRIC SPACES AND SLOWLY VARYING FUNCTIONS
• Real Interpolation with Logarithmic Functors and Reiteration
• Limiting reiteration for real interpolation with slowly varying functions
• New regularity criteria for the 3D magneto‐micropolar fluid equations in Lorentz spaces
• Limit cases of reiteration theorems
• An application of interpolation theory to renorming of Lorentz-Karamata type spaces

This page was built for publication: Some reiteration theorems for \(\mathscr{R}\), \(\mathscr{L}\), \(\mathscr{R}\mathscr{R}\), \(\mathscr{R}\mathscr{L}\), \(\mathscr{L}\mathscr{R}\), and \(\mathscr{L}\mathscr{L}\) limiting interpolation spaces