Zobrazeno 1 - 10
of 115
pro vyhledávání: '"42B25, 42B20"'
We show that the operator \begin{equation*} \mathcal{C} f(x,y) := \sup_{v\in \mathbb{R}} \Big|\mathrm{p.v.} \int_{\mathbb{R}} f(x-t, y-t^2) e^{i v t^3} \frac{\mathrm{d} t}{t} \Big| \end{equation*} is bounded on $L^p(\mathbb{R}^2)$ for every $1 < p <
Externí odkaz:
http://arxiv.org/abs/2407.07563
Autor:
Ramadana, Yusuf, Gunawan, Hendra
In this paper we investigate the boundedness of sublinear operators generated by fractional integrals as well as sublinear operators generated by Calder\`on-Zygmund operators on generalized weighted Morrey spaces and generalized weighted mixed-Morrey
Externí odkaz:
http://arxiv.org/abs/2406.05435
Autor:
Cen, Xi, Song, Zichen
Recently, the extrapolation theory has become a mainsteam method to investigate some integral type operators, since it does not depend on the density of spaces. The purpose of this paper is threefold. The first is to establish product Morrey-Herz spa
Externí odkaz:
http://arxiv.org/abs/2402.12321
This is the last one of three successive articles by the authors on matrix-weighted Besov-type and Triebel--Lizorkin-type spaces $\dot B^{s,\tau}_{p,q}(W)$ and $\dot F^{s,\tau}_{p,q}(W)$. In this article, the authors establish the molecular and the w
Externí odkaz:
http://arxiv.org/abs/2312.13549
We study the boundedness of commutators of the Hardy-Littlewood maximal function and the sharp maximal function on weighted Morrey spaces when the symbols of the commutators belong to weighted Lipschitz spaces. Some new characterizations for weighted
Externí odkaz:
http://arxiv.org/abs/2309.02192
Autor:
Martell, José María, Portal, Pierre
The Rubio de Francia extrapolation theorem is a very powerful result which states that in order to show that certain operators satisfy weighted norm inequalities with Muckenhoupt weights it suffices to see that the corresponding inequalities hold for
Externí odkaz:
http://arxiv.org/abs/2308.15103
Autor:
Zhang, Pu, Zhu, Xiaomeng
Let $M$ be the Hardy-Littlewood maximal function. Denote by $M_b$ and $[b,M]$ the maximal and the nonlinear commutators of $M$ with a function $b$. The boundedness of $M_b$ and $[b,M]$ on weighted Lebesgue spaces are characterized when the symbols $b
Externí odkaz:
http://arxiv.org/abs/2307.15500
Publikováno v:
Math. Ann (2023)
In this paper, we prove that the $L^p(\mathbb{R}^d)$ norm of the maximal truncated Riesz transform in terms of the $L^p(\mathbb{R}^d)$ norm of Riesz transform is dimension-free for any $2\leq p<\infty$, using integration by parts formula for radial F
Externí odkaz:
http://arxiv.org/abs/2306.07406
The optimal $L^p \to L^q$ mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analysis and, in particular, a localised version of the Bennett--Carbery--Ta
Externí odkaz:
http://arxiv.org/abs/2305.17133