Zobrazeno 1 - 10
of 3 306
pro vyhledávání: '"42B25"'
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
In this article, motivated by the regularity theory of the solutions of doubly nonlinear parabolic partial differential equations the authors introduce the off-diagonal two-weight version of the parabolic Muckenhoupt class with time lag. Then the aut
Externí odkaz:
http://arxiv.org/abs/2410.04483
Let $(X,d,\mu)$ be a metric space with doubling measure and $L$ be a nonnegative self-adjoint operator on $L^2(X)$ whose heat kernel satisfies the Gaussian upper bound. We assume that there exists an $L$-harmonic function $h$ such that the semigroup
Externí odkaz:
http://arxiv.org/abs/2410.01164
Autor:
Cruz-Uribe, David, Myyryläinen, Kim
We prove two-weight norm inequalities for parabolic fractional maximal functions using parabolic Muckenhoupt weights. In particular, we prove a two-weight, weak-type estimate and Fefferman-Stein type inequalities for the centered parabolic maximal fu
Externí odkaz:
http://arxiv.org/abs/2410.01012
Autor:
Hietanen, Vertti
We prove that the Hardy-Littlewood maximal operator is bounded in the weighted generalized Orlicz space if the weight satisfies the classical Muckenhoupt condition $A_p$ and $t \to \frac{\varphi(x,t)}{t^p}$ is almost increasing in addition to the sta
Externí odkaz:
http://arxiv.org/abs/2409.18525
In this paper we introduce the John-Nirenberg's type spaces $\text{JN}_p$ associated with the Gaussian measure $d\gamma(x) = \pi^{-d/2}e^{-|x|^2}dx$ in $\mathbb{R}^d$ where $1
Externí odkaz:
http://arxiv.org/abs/2409.18354
Autor:
Chen, Yanhan
In this paper, we establish quantitative weak type estimates for operators that are dominated by (fractional) sparse operators in bilinear sense. Specifically, we derive bounds for both the restricted weak type $L^{p,1}\rightarrow L^{q,\infty}$ and t
Externí odkaz:
http://arxiv.org/abs/2409.16812
Autor:
Weigt, Julian
We investigate the question whether the $L^1(\mathbb R)$-norm of the second derivative of the uncentered Hardy-Littlewood maximal function can be bounded by a constant times the $L^1(\mathbb R)$-norm of the function itself. We give a positive answer
Externí odkaz:
http://arxiv.org/abs/2409.12631
$K_\sigma$ sets involving sticky maps $\sigma$ have been used in the theory of differentiation of integrals to probabilistically construct Kakeya-type sets that imply certain types of directional maximal operators are unbounded on $L^p(\mathbb{R}^2)$
Externí odkaz:
http://arxiv.org/abs/2409.12280
Autor:
Zhou, Yue
We consider one-parameter families of quadratic-phase integral transforms which generalize the fractional Fourier transform. Under suitable regularity assumptions, we characterize the one-parameter groups formed by such transforms. Necessary and suff
Externí odkaz:
http://arxiv.org/abs/2409.11201