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2004•Journal of Tongji UniversityRequires access

A BL_p(φ) Spaces and Its Interpolation

Han Jing

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Abstract

The imbedding properties of BL p(φ) spaces are studied in this paper,when B=｛L p 1 (M),…,L p n (M),…｝ is a sequence of Orlicz spaces corresponding to N-functions which increases faster than power functions.And the interpolation theorems of linear operators in BL p(φ) spaces are studied.It is proved that the spaces of BL p(φ) is in the gap of two Orlicz spaces.This fact generalized the known result that the spaces of B a is the “gap spaces” of Lebesgue spaces and the L ∞ space.

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The imbedding properties of BL p(φ) spaces are studied in this paper,when B=｛L p 1 (M),…,L p n (M),…｝ is a sequence of Orlicz spaces corresponding to N-functions which increases faster than power functions.And the interpolation theorems of linear operators in BL p(φ) spaces are studied.It is proved that the spaces of BL p(φ) is in the gap of two Orlicz spaces.This fact generalized the known result that the spaces of B a is the “gap spaces” of Lebesgue spaces and the L ∞ space.

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Available abstract

The imbedding properties of BL p(φ) spaces are studied in this paper,when B=｛L p 1 (M),…,L p n (M),…｝ is a sequence of Orlicz spaces corresponding to N-functions which increases faster than power functions.And the interpolation theorems of linear operators in BL p(φ) spaces are studied.It is proved that the spaces of BL p(φ) is in the gap of two Orlicz spaces.This fact generalized the known result that the spaces of B a is the “gap spaces” of Lebesgue spaces and the L ∞ space.

Key concepts: Interpolation space, Lp space, Birnbaum–Orlicz space, Mathematics, Pure mathematics, Hardy space, Interpolation (computer graphics), Topological tensor product

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