Results 11 to 20 of about 183 (108)
Extrapolation to mixed norm spaces and applications [PDF]
, 2021 This paper establishes extrapolation theory to mixed norm spaces. By applying this extrapolation theory, we obtain the mapping properties of the Rubio de Francia Littlewood-Paley functions and the geometrical maximal functions on mixed norm spaces.
Ho, Kwok-Pun
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Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces [PDF]
, 2023 summary:We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces.
Wang, Dinghuai, Lu, Guanghui
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-improving for discrete spherical averages [PDF]
, 2020 We initiate the theory of -improving inequalities for arithmetic averages over hypersurfaces and their maximal functions. In particular, we prove -improving estimates for the discrete spherical averages and some of their generalizations.
Kevin Hughes, Hughes, Kevin
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On the stabilizing effect of rotation in the 3d Euler equations
Communications on Pure and Applied Mathematics, Volume 76, Issue 12, Page 3553-3641, December 2023., 2023 Abstract While it is well known that constant rotation induces linear dispersive effects in various fluid models, we study here its effect on long time nonlinear dynamics in the inviscid setting. More precisely, we investigate stability in the 3d rotating Euler equations in R3$\mathbb {R}^3$ with a fixed speed of rotation.
Yan Guo +3 more
wiley +1 more source
Communications on Pure and Applied Mathematics, Volume 76, Issue 12, Page 3685-3768, December 2023., 2023 Abstract We investigate the long‐time properties of the two‐dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size ε. Under the classical Miles‐Howard stability condition on the Richardson number, we prove that the system experiences a shear‐buoyancy instability: the density variation
Jacob Bedrossian +3 more
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Restricted weak type inequalities for the one-sided Hardy-Littlewood maximal operator in higher dimensions [PDF]
, 2022 summary:We give a quantitative characterization of the pairs of weights $(w,v)$ for which the dyadic version of the one-sided Hardy-Littlewood maximal operator satisfies a restricted weak $(p,p)$ type inequality for $1\leq pt \})\leq \frac {C[(w,v)]_{A_p^
Berra, Fabio Martín, Berra, Fabio
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Energy Science &Engineering, Volume 11, Issue 7, Page 2444-2468, July 2023., 2023 Mode representation of power energy utilization processes and coupling integration effects of swarm intelligence (sparrow) methods. Abstract With the development of the electric market, electric load forecasting has been increasingly pursued by many scholars.
Guo‐Feng Fan +4 more
wiley +1 more source
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, we work on the Cauchy problem of the three‐dimensional micropolar fluid equations. For small initial data, in the variable‐exponent Fourier–Besov spaces, we achieve the global well‐posedness result. The Littlewood–Paley decomposition method and the Fourier‐localization technique are main tools to obtain the results. Moreover, the results
Muhammad Zainul Abidin +4 more
wiley +1 more source
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 Let L = −Δ + V be a Schrödinger operator on ℝn, where Δ denotes the Laplace operator ∑i=1n∂2/∂xi2 and V is a nonnegative potential belonging to a certain reverse Hölder class RHq(ℝn) with q > n/2. In this paper, by the regularity estimate of the fractional heat kernel related with L, we establish the quantitative weighted boundedness of Littlewood ...
Li Yang, Pengtao Li, Andrea Scapellato
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Boundedness of Littlewood-Paley operators relative to non-isotropic dilations [PDF]
, 2019 summary:We consider Littlewood-Paley functions associated with a non-isotropic dilation group on $\Bbb R^n$. We prove that certain Littlewood-Paley functions defined by kernels with no regularity concerning smoothness are bounded on weighted $L^p$ spaces,
Sato, Shuichi
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