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- W298625498 abstract "On the setting of the half-space of the Euclidean n- space, we consider harmonic Bergman spaces and we also study properties of the reproducing kernel. Using covering lemma, we find some equivalent quantities. We prove that if lim i!1 Kr(zi) V Kr(zi) = 0 then the inclusion function I : b p ! L p (Hn;d) is a compact op- erator. Moreover, we show that if f is a nonnegative continuous function in L 1 and lim z!1 f(z) = 0, then Tf is compact if and only if f 2 C0(Hn)." @default.
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- W298625498 date "2001-01-01" @default.
- W298625498 modified "2023-09-23" @default.
- W298625498 title "HARMONIC BERGMAN SPACES OF THE HALF-SPACE AND THEIR SOME OPERATORS" @default.
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