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AN ARBITRARY INTERSECTION OF Lp-SPACES
Published online by Cambridge University Press: 16 February 2012
Abstract
For a locally compact group G and an arbitrary subset J of [1,∞], we introduce ILJ(G) as a subspace of ⋂ p∈JLp(G) with some norm to make it a Banach space. Then, for some special choice of J, we investigate some topological and algebraic properties of ILJ(G) as a Banach algebra under a convolution product.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2012
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