Harmonic Functions and Poisson Integrals

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

Chapter Chapter 5 in Real Analysis Methods for Markov Processes, 2024, pp 185-216 from Springer

Abstract: Abstract TheHarmonic function purposePoisson integral of this chapter is to studyPoisson integral harmonic functionsHarmonic function in the half-space $$\textbf{R}^{n+1}_{+}$$ R + n + 1 in terms of Poisson integrals of functions in various $$L^{p}$$ L p spaces, paying particular attention to the Poisson kernel P(x, y)

Date: 2024
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DOI: 10.1007/978-981-97-3659-1_5

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