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Quotients of green functions on ℝn

✍ Scribed by Hermann Hueber; Malte Sieveking


Publisher
Springer
Year
1984
Tongue
English
Weight
704 KB
Volume
269
Category
Article
ISSN
0025-5831

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Integrable Harmonic Functions on Rn
✍ Yaakov Ben Natan; Yitzhak Weit 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 292 KB

A class of radial measures + on R n is defined so that integrable harmonic functions f on R n may be characterized as solutions of convolution equations f V += f. In particular we show that f V e &2 V ? |x| = f, f # L 1 (e &2? |x| ) is harmonic if and only if n<9.