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AN ARBITRARY INTERSECTION OF<i>L</i><sub><i>p</i></sub>-SPACES

AN ARBITRARY INTERSECTION OF<i>L</i><sub><i>p</i></sub>-SPACES

Abstract For a locally compact group G and an arbitrary subset J of [1, ∞ ], we introduce IL J ( G ) as a subspace of ⋂ p ∈ J L p ( G ) with some norm to make it a Banach space. Then, for some special choice …