Results 11 to 20 of about 4,227 (107)
Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces [PDF]
Complex Analysis and Operator Theory, 2019 Let X be a ball quasi-Banach function space on $${{\mathbb {R}}}^n$$ R n . In this article, assuming that the powered Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector-valued maximal inequality on X and is bounded on the associated ...
D. Chang +3 more
semanticscholar +2 more sources
Harmonic Functions, Conjugate Harmonic Functions and the Hardy Space $$H^1$$H1 in the Rational Dunkl Setting [PDF]
Journal of Fourier Analysis and Applications, 2018 In this work we extend the theory of the classical Hardy space $$H^1$$H1 to the rational Dunkl setting. Specifically, let $$\Delta $$Δ be the Dunkl Laplacian on a Euclidean space $$\mathbb {R}^N$$RN. On the half-space $$\mathbb {R}_+\times \mathbb {R}^N$$
Jean-Philippe Anker +2 more
semanticscholar +1 more source
A Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type [PDF]
Journal of Fourier Analysis and Applications, 2018 Let $$(X,d,\mu )$$(X,d,μ) be a space of homogeneous type, with the upper dimension $$\omega $$ω, in the sense of Coifman and Weiss. Assume that $$\eta $$η is the smoothness index of the wavelets on X constructed by Auscher and Hytönen.
Ziyi He +5 more
semanticscholar +1 more source
Extrapolation to mixed norm spaces and applications
Acta et commentationes Universitatis Tartuensis de mathematica, 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.
K. Ho
semanticscholar +1 more source
Calderón–Zygmund operators in the Bessel setting [PDF]
Monatshefte für Mathematik (Print), 2010 We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood–Paley–Stein square functions, multipliers of Laplace transform type and Riesz ...
J. Betancor, A. Castro, A. Nowak
semanticscholar +2 more sources
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
wiley +1 more source
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
wiley +1 more source