Some Interpolation Formulae for Grand and Small Lorentz Spaces

Irshaad Ahmed,Alberto Fiorenza, Aneesa Hafeez

Mediterranean Journal of Mathematics（2020）

Cited 14|Views1

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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.

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Key words

Slowly varying functions,grand and small Lorentz spaces,Lorentz–Karamata spaces, K-functional,real interpolation,weighted inequalities

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