A Class of L P Convolutors on Harmonic Extensions of H -type Groups
نویسنده
چکیده
Let S be a harmonic extension of an H-type group and call its modular function. We nd suucient conditions on the spherical transform of a radial distribution k on S, so that ?z k is a left resp. a right] convolutor of L p (S), 1 < p < 1, for every complex z with 0 Rez 1 resp. ?1 + 1=p Rez 1=p].
منابع مشابه
A class of L p convolutors on harmonic extensions of H - type groups Francesca
Let S be a harmonic extension of an H -type group and call δ its modular function. We find sufficient conditions on the spherical transform of a radial distribution k on S , so that δ−zk is a left [resp. a right] convolutor of L(S) , 1 < p < ∞ , for every complex z with 0 ≤ Rez ≤ 1 [resp. −1 + 1/p ≤ Rez ≤ 1/p ].
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