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H~p(M) SPACES AND SOME INTERPOLATION PROPERTIES

Liu Guan

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Abstract

In this paper, H p(M) spaces are defined and some Interpolation properties are studied.For p ≥1,we prove that H p(M) spaces are Banach spaces and they are Interpolation spaces of H ∞ and H 1 under some conditions.

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What this paper is about

In this paper, H p(M) spaces are defined and some Interpolation properties are studied.For p ≥1,we prove that H p(M) spaces are Banach spaces and they are Interpolation spaces of H ∞ and H 1 under some conditions.

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Available abstract

In this paper, H p(M) spaces are defined and some Interpolation properties are studied.For p ≥1,we prove that H p(M) spaces are Banach spaces and they are Interpolation spaces of H ∞ and H 1 under some conditions.

Key concepts: Interpolation space, Interpolation (computer graphics), Mathematics, Banach space, Lp space, Pure mathematics, Birnbaum–Orlicz space, Compact-open topology

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