We consider grand and small Lorentz spaces involving slowly varying functions, for which we establish some interpolation formulae. Our approach is based on certain limiting reiteration formulae as well as on computation of certain K-functionals.

Some Interpolation Formulae for Grand and Small Lorentz Spaces

Fiorenza Alberto;
2020

Abstract

We consider grand and small Lorentz spaces involving slowly varying functions, for which we establish some interpolation formulae. Our approach is based on certain limiting reiteration formulae as well as on computation of certain K-functionals.
2020
Slowly varying functions
grand and small Lorentz spaces
Lorentz-Karamata spaces
K-functional
real interpolation
weighted inequalities
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/394175
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