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Spaces of Lorentz Multipliers

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Published:2001-06-01
Printed: Jun 2001

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Abstract

We study when the spaces of Lorentz multipliers from $L^{p,t} \rightarrow L^{p,s}$ are distinct. Our main interest is the case when $s

Keywords:

multipliers, convolution operators, Lorentz spaces, Lorentz-improving multipliers multipliers, convolution operators, Lorentz spaces, Lorentz-improving multipliers

MSC Classifications:

43A22, 42A45, 46E30 show english descriptions Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
Multipliers
Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 43A22 - Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
42A45 - Multipliers
46E30 - Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)