Sharp mixed norm spherical restriction
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DOI: 10.1016/j.aim.2018.10.043
Abstract: Let $d\geq 2$ be an integer and let $2d/(d-1) < q \leq \infty$. In this paper we investigate the sharp form of the mixed norm Fourier extension inequality \begin{equation*} \big\|\widehat{f\sigma}\big\|_{L^q_{{\rm rad}}L^2_{{\rm ang}}(\mathbb{R}^d)} \leq {\bf C}_{d,q}\,… read more here.
Keywords: restriction; mixed norm; leq leq; norm spherical ... See more keywords
The thermal history of the intergalactic medium at 3.9 ≤ z ≤ 4.3
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DOI: 10.1017/pasa.2023.22
Abstract: Abstract A new determination of the temperature of the intergalactic medium (IGM) over $3.9 \leq z \leq 4.3$ is presented. We applied the curvature method on a sample of 10 high-resolution quasar spectra from the… read more here.
Keywords: leq leq; leq; intergalactic medium; thermal history ... See more keywords
A Polynomial Sieve and Sums of Deligne Type
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DOI: 10.1093/imrn/rnz245
Abstract: Let $f\in \mathbb{Z}[T]$ be any polynomial of degree $d>1$ and $F\in \mathbb{Z}[X_{0},...,X_{n}]$ an irreducible homogeneous polynomial of degree $e>1$ such that the projective hypersurface $V(F)$ is smooth. In this paper we present a new bound… read more here.
Keywords: deligne type; sieve sums; polynomial sieve; sums deligne ... See more keywords
Rasch Analysis of the Listening Effort Questionnaire—Cochlear Implant
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DOI: 10.1097/aud.0000000000001059
Abstract: Supplemental Digital Content is available in the text. Objectives: Listening effort may be defined as the attentional and cognitive resources needed to understand an auditory message, modulated by motivation. Despite the use of hearing devices… read more here.
Keywords: rasch analysis; listening effort; leq;
Refinements of norm and numerical radius inequalities
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DOI: 10.1216/rmj.2021.51.1953
Abstract: Several refinements of norm and numerical radius inequalities of bounded linear operators on a complex Hilbert space are given. In particular, we show that if $A$ is a bounded linear operator on a complex Hilbert… read more here.
Keywords: numerical radius; leq; frac; bigg ... See more keywords
Fourier integral operators with forbidden symbols on the Besov spaces
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DOI: 10.1515/forum-2023-0092
Abstract: Abstract In this note, we consider the Fourier integral operator T ϕ , a f ( x ) = ∫ R n e i ϕ ( x , ξ ) … read more here.
Keywords: fourier integral; operators forbidden; rho; leq ... See more keywords