منابع مشابه
AN LP-LQ-VERSION OF MORGAN’S THEOREM FOR THE GENERALIZED BESSEL TRANSFORM
n this article, we prove An Lp-Lq-version of Morgan’s theorem for the generalized Bessel transform.
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15 صفحه اولAn Lp-Lq version of Hardy's theorem for spherical Fourier transform on semisimple Lie groups
We consider a real semisimple Lie group G with finite center and K a maximal compact subgroup of G. We prove an Lp −Lq version of Hardy’s theorem for the spherical Fourier transform on G. More precisely, let a, b be positive real numbers, 1 ≤ p, q ≤ ∞, and f a K-bi-invariant measurable function on G such that h−1 a f ∈ Lp(G) and eb‖λ‖ (f )∈ Lq(a∗ +) (ha is the heat kernel on G). We establish th...
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On the basis of analytic method and skill, a strengthened version of well-known Hardy's inequality is obtained. In comparison with some similar results given in recent decades, it successfully reduced the related coefficient.
متن کاملAn Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
The aim of this paper is to prove new quantitative uncertainty principle for the generalized Fourier transform connected with a Dunkl type operator on the real line. More precisely we prove An Lp-Lq-version of Morgan's theorem.
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences & Computational Mathematics
سال: 2020
ISSN: 2688-8300
DOI: 10.15864/jmscm.1402