Harmonic functions with boundary values on Herz spaces

Martha Guzmán-Partida

Front. Math. China ›› 2013, Vol. 8 ›› Issue (6) : 1265 -1274.

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Front. Math. China ›› 2013, Vol. 8 ›› Issue (6) : 1265 -1274. DOI: 10.1007/s11464-013-0324-8
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Harmonic functions with boundary values on Herz spaces

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Abstract

We discuss continuity of the Poisson transform on Herz spaces B p as well as its action on weighted versions of these sets. We also consider Banachvalued versions of Herz spaces and study some of their properties.

Keywords

Herz space / Poisson transform

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Martha Guzmán-Partida. Harmonic functions with boundary values on Herz spaces. Front. Math. China, 2013, 8(6): 1265-1274 DOI:10.1007/s11464-013-0324-8

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