Elements of Real Analysis

Kazuaki Taira ()
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Kazuaki Taira: University of Tsukuba, The College of Mathematics

Chapter Chapter 4 in Real Analysis Methods for Markov Processes, 2024, pp 125-182 from Springer

Abstract: Abstract This chapter is devoted to the precise definitions and statements of realVMO analyticVanishing mean oscillation (VMO) tools such asBMO bounded mean oscillationBounded mean oscillation (BMO) (BMO) and vanishing mean oscillation (VMO) functions, the Calderón–Zygmund decomposition (Theorem 4.9), the John–Nirenberg inequality (Theorem 4.13), the Hardy–Littlewood maximal function (Theorem 4.6), sharp functions (Theorem 4.19) and spherical harmonics (Theorem 4.41).

Date: 2024
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DOI: 10.1007/978-981-97-3659-1_4

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