The fourier transform on semisimple lie groups of real rank one
نویسندگان
چکیده
منابع مشابه
Real-Variable Theory and Fourier Integral Operators on Semisimple Lie Groups and Symmetric Spaces of Real Rank One
Let G be a non-compact connected semisimple Lie group of real rank one with finite center, K a maximal compact subgroup of G and X = G/K an associated symmetric space of real rank one. We will prove that L(G) ∗ L(G) ⊆ L(G), which is a sharp endpoint estimate for the Kunze-Stein phenomenon. We will also show that the noncentered maximal operator M2f(z) = sup z∈B 1 |B| ∫ B f(z)dz is bounded from ...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1973
ISSN: 0001-5962
DOI: 10.1007/bf02392034