Young's inequality for locally compact quantum groups
نویسندگان
چکیده
منابع مشابه
A Hausdorff–young Inequality for Locally Compact Quantum Groups
Let G be a locally compact abelian group with dual group Ĝ. The Hausdorff–Young theorem states that if f ∈ Lp(G), where 1 ≤ p ≤ 2, then its Fourier transform Fp(f) belongs to Lq(Ĝ) (where 1 p + 1 q = 1) and ||Fp(f)||q ≤ ||f ||p. Kunze and Terp extended this to unimodular and locally compact groups, respectively. We further generalize this result to an arbitrary locally compact quantum group G b...
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ژورنال
عنوان ژورنال: Journal of Operator Theory
سال: 2017
ISSN: 0379-4024,1841-7744
DOI: 10.7900/jot.2016mar03.2104