2000•Journal of Mathematical Research and ExpositionRequires access

The Boundedness of θ(t) -Calderon-Zygmund Operators on Heisenberg Group Hardy Spaces H~p(G)

Kai Zhao

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Abstract

Let G be the (2n + 1 )-dimensional Heisenberg group over a local field K, the Hardy space H~p(G) (0 p ≤1) is defined in reference [1]. In this paper, the boundedness of θ(t) -Calderon-Zygmund operators on H~p(G) ((0 p ≤ 1) spaces is discussed.

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Let G be the (2n + 1 )-dimensional Heisenberg group over a local field K, the Hardy space H~p(G) (0 p ≤1) is defined in reference [1]. In this paper, the boundedness of θ(t) -Calderon-Zygmund operators on H~p(G) ((0 p ≤ 1) spaces is discussed.

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Available abstract

Let G be the (2n + 1 )-dimensional Heisenberg group over a local field K, the Hardy space H~p(G) (0 p ≤1) is defined in reference [1]. In this paper, the boundedness of θ(t) -Calderon-Zygmund operators on H~p(G) ((0 p ≤ 1) spaces is discussed.

Key concepts: Mathematics, Heisenberg group, Hardy space, Group (periodic table), Space (punctuation), Field (mathematics), Combinatorics, Pure mathematics

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