Results 21 to 30 of about 2,907 (125)
Note on the existence theory for non‐induced evolution equations
Mathematische Nachrichten, Volume 295, Issue 6, Page 1186-1210, June 2022., 2022 Abstract In this note, we develop a framework which allows to prove an abstract existence result for non‐linear evolution equations involving so‐called non‐induced operators, i.e., operators which are not prescribed by a time‐dependent family of operators.
A. Kaltenbach
wiley +1 more source
Analysis of a model for the dynamics of microswimmer suspensions
Mathematical Methods in the Applied Sciences, Volume 44, Issue 18, Page 14041-14058, December 2021., 2021 In this paper, a model that was recently derived in Reinken et al. to describe the dynamics of microswimmer suspensions is studied. In particular, the global existence of weak solutions, their weak–strong uniqueness, and a connection to a different model that was proposed in Wensink et al. is shown.
Etienne Emmrich, Lukas Geuter
wiley +1 more source
Extreme Points and Majorization: Economic Applications
Econometrica, Volume 89, Issue 4, Page 1557-1593, July 2021., 2021 We characterize the set of extreme points of monotonic functions that are either majorized by a given function f or themselves majorize f and show that these extreme points play a crucial role in many economic design problems. Our main results show that each extreme point is uniquely characterized by a countable collection of intervals.
Andreas Kleiner +2 more
wiley +1 more source
Boundedness of Fractional Integral Operators on Hardy‐Amalgam Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 We establish the boundedness of the fractional integral operators on the Hardy‐amalgam spaces.
Ka Luen Cheung +3 more
wiley +1 more source
Bochner-Riesz means on symmetric spaces
Tohoku Mathematical Journal, 1998 Suppose that \(G/K\) is a noncompact rank one Riemannian symmetric space of dimension \(d\). Denote by \(-\Delta_0\) the Laplace-Beltrami operator on \(G/K\), and by \(-\Delta\) its self-adjoint extension to \(L^2(G/K)\). Its spectral resolution is \(-\Delta= \int^\infty_{|\rho|^2} tdE(t)\), where the constant \(|\rho|^2\) depends on the geometry of ...
Meaney, Christopher, Prestini, Elena
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Some remarks on Bochner-Riesz means [PDF]
Colloquium Mathematicum, 2000 Let \(\Omega\) be a Riemannian manifold and \(P\) a differential operator of order \(d\), which is self-adjoint and nonnegative. The spectral resolution of \(P\) is \[ Pf=\int_{0}^{\infty}\lambda dE_{\lambda}f. \] The Bochner-Riesz means of order \(\delta\geq 0\) of a function \(f\) is \[ S_{R}^{\delta}f= \int_{0}^{R}\left(1-{\lambda\over R}\right ...
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Convolution Operators and Bochner-Riesz Means on Herz-Type Hardy Spaces in the Dunkl Setting
International Journal of Mathematics and Mathematical Sciences, 2010 We study the Dunkl convolution operators on Herz-type Hardy spaces ℋα,2p and we establish a version of multiplier theorem for the maximal Bochner-Riesz operators on the Herz-type Hardy spaces ℋα,∞p.
A. Gasmi, F. Soltani
doaj +1 more source
Square function estimates for the Bochner–Riesz means [PDF]
Analysis & PDE, 2018 We consider the square function (known as Stein's square function) estimate associated with the Bochner-Riesz means. The previously known range of sharp estimate is improved. Our results are based on vector valued extensions of Bennett-Carbery-Tao's multilinear (adjoint) restriction estimate and adaption of induction argument due to Bourgain-Guth ...
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Bochner-Riesz means of functions in weak-L p
Monatshefte f�r Mathematik, 1993 The Bochner-Riesz means of order \(\delta\geq 0\) for suitable test functions are defined via the Fourier transform by \((S_ R^ \delta f)\sphat (\xi)=(1-|\xi|^ 2 R^ 2)_ +^ \delta\widehat f(\xi)\). Let \(\delta(p,n)= n/p-(n+1)/2\): the critical index. S. Chanillo and B.
COLZANI, LEONARDO +2 more
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Vector-valued extensions of operators through multilinear limited range extrapolation
, 2019 We give an extension of Rubio de Francia's extrapolation theorem for functions taking values in UMD Banach function spaces to the multilinear limited range setting. In particular we show how boundedness of an $m$-(sub)linear operator \[T:L^{p_1}(w_1^{p_1}
Lorist, Emiel, Nieraeth, Bas
core +2 more sources