Results 1 to 10 of about 2,907 (125)
Bochner integrals in ordered vector spaces. [PDF]
Positivity (Dordr), 2017 We present a natural way to cover an Archimedean directed ordered vector space $E$ by Banach spaces and extend the notion of Bochner integrability to functions with values in $E$.
van Rooij ACM, van Zuijlen WB.
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Integrals for functions with values in a partially ordered vector space. [PDF]
Positivity (Dordr), 2016 We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to the space of real valued simple functions on a measure space leads to the
van Rooij ACM, van Zuijlen WB.
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On the deformed Besov-Hankel spaces [PDF]
Opuscula Mathematica, 2020 In this paper we introduce function spaces denoted by \(BH_{\kappa,\beta}^{p,r}\) (\(0\lt\beta\lt 1\), \(1\leq p, r \leq +\infty\)) as subspaces of \(L^p\) that we call deformed Besov-Hankel spaces.
Salem Ben Saïd +2 more
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Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator
Comptes Rendus. Mathématique, 2022 We obtain weak-type $(p, p)$ endpoint bounds for Bochner–Riesz means for the Hermite operator $H = -\Delta + |x|^2$ in ${\mathbb{R}}^n, n\ge 2$ and for other related operators, for $1\le p\le 2n/(n+2)$, extending earlier results of Thangavelu and of ...
Chen, Peng +3 more
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From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere [PDF]
, 2019 We prove a sharp multiplier theorem of Mihlin-H\"ormander type for the Grushin operator on the unit sphere in $\mathbb{R}^3$, and a corresponding boundedness result for the associated Bochner-Riesz means.
Casarino, Valentina +2 more
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Sparse bilinear forms for Bochner Riesz multipliers and applications [PDF]
, 2016 We use the very recent approach developed by Lacey in [23] and extended by Bernicot-Frey-Petermichl in [3], in order to control Bochner-Riesz operators by a sparse bilinear form.
Benea, Cristina +2 more
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Sparse Bounds for Bochner-Riesz Multipliers [PDF]
, 2017 The Bochner-Riesz multipliers $ B_{\delta }$ on $ \mathbb R ^{n}$ are shown to satisfy a range of sparse bounds, for all $0< \delta < \frac {n-1}2 $. The range of sparse bounds increases to the optimal range, as $ \delta $ increases to the critical value,
Lacey, Michael T. +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper we introduce the symmetric Besov-Bessel spaces. Next, we give a Sonine formula for generalized Bessel functions. Finally, we give a characterization of these spaces using the Bochner-Riesz means.
Houissa Khadija, Sifi Mohamed
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POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS
Ural Mathematical Journal, 2017 Let \(\varphi\) be a positive definite and continuous function on \(\mathbb{R}\), and let \(\mu\) be the corresponding Bochner measure. For fixed \(\varepsilon,\tau\in\mathbb{R}\), \(\varepsilon\ne 0\), we consider a linear operator \(A_{\varepsilon,\tau}
Viktor P. Zastavnyi
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On radial Fourier multipliers and almost everywhere convergence [PDF]
, 2014 We study a.e. convergence on $L^p$, and Lorentz spaces $L^{p,q}$, $p>\tfrac{2d}{d-1}$, for variants of Riesz means at the critical index $d(\tfrac 12-\tfrac 1p)-\tfrac12$.
Lee, Sanghyuk, Seeger, Andreas
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