منابع مشابه
A Hausdorff-young Inequality for Measured Groupoids
The classical Hausdorff-Young inequality for locally compact abelian groups states that, for 1 ≤ p ≤ 2, the L-norm of a function dominates the L-norm of its Fourier transform, where 1/p + 1/q = 1. By using the theory of non-commutative L-spaces and by reinterpreting the Fourier transform, R. Kunze (1958) [resp. M. Terp (1980)] extended this inequality to unimodular [resp. non-unimodular] groups...
متن کاملA Remark on the Mandl’s Inequality
So, we have (1.2) p1p2 · · · pn < (pn 2 )n (n ≥ 9), where also holds true by computation for 5 ≤ n ≤ 8. In other hand, one can get a trivial lower bound for that product using Euclid’s proof of infinity of primes; Letting En = p1p2 · · · pn−1 for every n ≥ 2, it is clear that pn < En. So, if pn < En < pn+1 then En should has a prime factor among p1, p2, · · · , pn which isn’t possible. Thus En ...
متن کاملA 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...
متن کاملHeat-flow Monotonicity Related to the Hausdorff–young Inequality
It is known that if q is an even integer then the L(R) norm of the Fourier transform of a superposition of translates of a fixed gaussian is monotone increasing as their centres “simultaneously slide” to the origin. We provide explicit examples to show that this monotonicity property fails dramatically if q > 2 is not an even integer. These results are equivalent, upon rescaling, to similar sta...
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We define a fibration, or fibred surface to be the data of a smooth projective surface X with a surjective morphism f to a smooth complete curve B. We also assume that f has connected fibres. Recall that such a morphism is automatically flat and proper, and that the general fibre of a fibration is smooth. The genus of the general fibre is called genus of the fibration. Define a (-1)-curve (resp...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1995-1273525-5