Zobrazeno 1 - 10
of 36 660
pro vyhledávání: '"Zygmund, A."'
In this paper, our main purpose is to establish a weak factorization of the classical Hardy spaces in terms of a multilinear Calder\'on-Zygmund operator on the ball Banach function spaces. Furthermore, a new characterization of the BMO space via the
Externí odkaz:
http://arxiv.org/abs/2411.06717
We establish a nonlinear Calder\'on-Zygmund $L^2$-theory to the Dirichlet problem $$-|Du|^{\gamma}\Delta^N_p u=f\in L^2(\Omega)\quad {\rm in}\quad \Omega; \quad u=0 \ \mbox{on $\partial\Omega$} $$ for $n\ge2$, $ p>1$ and a large range of $\gamma>-1$,
Externí odkaz:
http://arxiv.org/abs/2411.03796
Autor:
Kolomoitsev, Yurii, Tikhonov, Sergey
We obtain Marcinkiewicz--ygmund (MZ) inequalities in various Banach and quasi-Banach spaces under minimal assumptions on the structural properties of these spaces. Our main results show that the Bernstein inequality in a general quasi-Banach function
Externí odkaz:
http://arxiv.org/abs/2411.04119
We establish several fine boundary regularity results of weak solutions to non-homogeneous $s$-fractional Laplacian type equations. In particular, we prove sharp Calder\'on-Zygmund type estimates of $u/d^s$ depending on the regularity assumptions on
Externí odkaz:
http://arxiv.org/abs/2410.19243
Autor:
Magaña, Marc
We prove that the solution map for a family of non-linear transport equations in $\mathbb{R}^n$, with a velocity field given by the convolution of the density with a kernel that is smooth away from the origin and homogeneous of degree $-(n-1)$, is co
Externí odkaz:
http://arxiv.org/abs/2410.19057
Autor:
Liu, Xiong, Wang, Wenhua
Let $\varphi: \mathbb{R}^{n}\times[0,\infty)\rightarrow[0,\infty)$ be a Musielak-Orlicz function satisfying the uniformly anisotropic Muckenhoupt condition and be of uniformly lower type $p^-_{\varphi}$ and of uniformly upper type $p^+_{\varphi}$ wit
Externí odkaz:
http://arxiv.org/abs/2410.06611
Autor:
Nieraeth, Zoe, Stockdale, Cody B.
We prove weighted weak-type $(r,r)$ estimates for operators satisfying $(r,s)$ limited-range sparse domination of $\ell^q$-type. Our results contain improvements for operators satisfying limited-range and square function sparse domination. In the cas
Externí odkaz:
http://arxiv.org/abs/2409.08921
Autor:
Vasin, A. V.1 (AUTHOR), Dubtsov, E. S.2 (AUTHOR) dubtsov@pdmi.ras.ru
Publikováno v:
Mathematical Notes. Aug2023, Vol. 114 Issue 1/2, p30-45. 16p.
Autor:
Bui, The Anh, Zheng, Linfei
Let $L$ be a closed, densely defined operator on $L^2(\mathbb{R}^n)$ satisfying suitable $L^p-L^q$ off-diagonal estimates of order $\kappa > 0$. This paper aims to investigate the two-weight estimate and the Bloom weighted estimate for the fractional
Externí odkaz:
http://arxiv.org/abs/2411.06555
Autor:
Hamid Vaezi, Sima Houdfar
Publikováno v:
AUT Journal of Mathematics and Computing, Vol 5, Iss 4, Pp 321-327 (2024)
In this paper first, the boundedness and compactness of a composition operator from Zygmund space to Besov Zygmund-type space are studied. Then we study this concepts for this operator by using the hyperbolic-type analytic Besov Zygmun
Externí odkaz:
https://doaj.org/article/a99b0ed30b914758811cdf055b4fcd1e