n this article, we prove 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.

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.

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.

An aspect of uncertainty principle in real classical analysis asserts that a function f and its Fourier transform ̂ f cannot decrease simultaneously very rapidly at infinity. As illustrations of this, one has Hardy’s theorem [1], Morgan’s theorem [2], and BeurlingHörmander’s theorem [3–5]. These theorems have been generalized to many other situations; see, for example, [6–10]. In 1983, Cowling a...

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...

We show that a reflexive subspace of the predual of a von Neumann algebra embeds into a noncommutative Lp space for some p > 1. This is a noncommutative version of Rosenthal’s result for commutative Lp spaces. Similarly for 1 ≤ q < 2, an infinite dimensional subspace X of a noncommutative Lq space either contains lq or embeds in Lp for some q < p < 2. The novelty in the noncommutative setting i...

In this work we investigate the Lp−Lq-mapping properties of resolvent associated with time-harmonic isotropic Maxwell operator. As spectral parameters close to spectrum are also covered by our analysis, obtain an Lp−Lq-type Limiting Absorption Principle for Our analysis relies on new results Helmholtz systems zero order non-Hermitian perturbations. Moreover, provide improved version Hermitian (...

In this paper, we consider the motion of incompressible magnetohydrodynamics (MHD) with resistivity in a domain bounded by free surface. An electromagnetic field generated some currents an external keeps MHD flow domain. On surface, boundary conditions for and transmission fields are imposed. We proved local well-posedness general setting domains from mathematical point view. The solutions obta...