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2009•Journal of Qingdao UniversityRequires access

Boundedness of θ(t)-type Singular Integral Operators in the Anisotropic Hardy Space

LI Jia-feng

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Abstract

By using the atomic and molecular decompositions of Hp(Rn) which is an anisotropic Hardy space associated with a given expansive matrix A,the boundedness of θ(t)-type singular integral operators which is associated with A and is from the anisotropic hardy space H1(Rn) to L1(Rn) space or from Hp(Rn) to Hp(Rn) is researched.The conclusions obtained in this paper improve the known results in the field.

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What this paper is about

By using the atomic and molecular decompositions of Hp(Rn) which is an anisotropic Hardy space associated with a given expansive matrix A,the boundedness of θ(t)-type singular integral operators which is associated with A and is from the anisotropic hardy space H1(Rn) to L1(Rn) space or from Hp(Rn) to Hp(Rn) is researched.The conclusions obtained in this paper improve the known results in the field.

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Available abstract

By using the atomic and molecular decompositions of Hp(Rn) which is an anisotropic Hardy space associated with a given expansive matrix A,the boundedness of θ(t)-type singular integral operators which is associated with A and is from the anisotropic hardy space H1(Rn) to L1(Rn) space or from Hp(Rn) to Hp(Rn) is researched.The conclusions obtained in this paper improve the known results in the field.

Key concepts: Hardy space, Expansive, Mathematics, Anisotropy, Space (punctuation), Type (biology), Singular integral, Mathematical analysis

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