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Bilinear Operators on Herz–type Hardy Spaces on Locally Compact Vilenkin Groups

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Abstract

Let G be a locally compact Vilenkin group. In this paper the authors study the boundedness of bilinear operators B (f, g) given by finite sums of products of Calderón–Zygmund operators in Herz space and Herz–type Hardy space on G. And an example, the boundedness from the products of Herz space to Herz–type Hardy space is given in the last section.

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Correspondence to Can Qin Tang.

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Supported by NSF, Grant No. 10371004

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Tang, C.Q., Li, Q.G. & Ma, B.L. Bilinear Operators on Herz–type Hardy Spaces on Locally Compact Vilenkin Groups. Acta Math Sinica 21, 599–612 (2005). https://doi.org/10.1007/s10114-005-0491-3

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  • DOI: https://doi.org/10.1007/s10114-005-0491-3

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