Modular interpolation spaces. I

DOI10.4171/ZAA/3zbMath0519.46026MaRDI QIDQ1054961

Miroslav Krbec

Publication date: 1982

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Orlicz spaceinterpolation spacesmodular spaceSobolev-Orlicz spacesmodular-continuous operatorsmultiplier theorem of the Mikhlin typestability of an interpolation method

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract interpolation of topological vector spaces (46M35)

Related Items (12)

Refined stability of additive and quadratic functional equations in modular spaces ⋮ On the generalized orthogonal stability of mixed type additive-cubic functional equations in modular spaces ⋮ Best approximants in modular function spaces ⋮ Interpolation of linear operators ⋮ Solution and stability of quartic functional equations in modular spaces by using Fatou property ⋮ Non-commutative Orlicz spaces associated to a modular on \(\tau\)-measurable operators ⋮ On the generalized orthogonal stability of the pexiderized quadratic functional equations in modular spaces ⋮ Stability of derivations in modular spaces ⋮ Unnamed Item ⋮ Bi-additive s-functional inequalities and biderivation in modular spaces ⋮ Two multi-cubic functional equations and some results on the stability in modular spaces ⋮ Modulars from Nakano onwards

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