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Littlewood–Paley Operators and Maximal Operators Related to Approximations of the Identity

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The Hardy Space H1 with Non-doubling Measures and Their Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2084))

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Abstract

In this chapter, we turn our attention to the boundedness on L p(μ), with p ∈ (1, ), and endpoint estimates of operators related to approximations of the identity in Sect. 2.4, including Littlewood–Paley operators and maximal operators.

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Notes

  1. 1.

    See [40, p.457].

  2. 2.

    See [41, p. 224].

  3. 3.

    See also [117].

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Yang, D., Yang, D., Hu, G. (2013). Littlewood–Paley Operators and Maximal Operators Related to Approximations of the Identity. In: The Hardy Space H1 with Non-doubling Measures and Their Applications. Lecture Notes in Mathematics, vol 2084. Springer, Cham. https://doi.org/10.1007/978-3-319-00825-7_6

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