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pro vyhledávání: '"42b20"'
Autor:
Xu, Shaozhen
We investigate $(2+1)-$dimensional oscillatory integral operators characterized by polynomial phase functions. By employing Stein's complex interpolation, we derive sharp $L^2\to L^p$ decay estimates for these operators.
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Externí odkaz:
http://arxiv.org/abs/2411.15009
Let $R_{\lambda,j}$ be the $j$-th Bessel--Riesz transform, where $n\geq 1$, $\lambda>0$, and $j=1,\ldots,n+1$. In this article, we establish a Weyl type asymptotic for $[M_f,R_{\lambda,j}]$, the commutator of $R_{\lambda,j}$ with multiplication opera
Externí odkaz:
http://arxiv.org/abs/2411.14928
Autor:
Kitajima, Masaya
Let be $p$ and $r$ positive real numbers. Then, we consider the lattice point problem of the closed curve $p$-circle $\{x\in\mathbb{R}^{2}|\ |x_{1}|^{p}+|x_{2}|^{p}=r^{p}\}$ which is a generalization of the circle ($p=2$). Following the harmonic anal
Externí odkaz:
http://arxiv.org/abs/2411.10850
Autor:
Strzelecki, Michał
The operators $\Lambda_m$ ($m\in\mathbb{N}\cup \{0\}$) arise when one studies the action of the Beurling-Ahlfors transform on certain radial function subspaces. It is known that the weak-type $(1,1)$ constant of $\Lambda_0$ is equal to $1/\ln(2)\appr
Externí odkaz:
http://arxiv.org/abs/2411.09340
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
This paper is devoted to studying the maximal-in-time estimates and Strichartz estimates for orthonormal functions and convergence problem of density functions related to Boussinesq operator on manifolds. Firstly, we present the pointwise convergence
Externí odkaz:
http://arxiv.org/abs/2411.08920
Autor:
Hytönen, Tuomas, Korte, Riikka
We characterise the Schatten class $S^p$ properties of commutators $[b,T]$ of singular integrals and pointwise multipliers in a general framework of (quasi-)metric measure spaces. This covers, unifies, and extends a range of previous results in diffe
Externí odkaz:
http://arxiv.org/abs/2411.02613
Autor:
Laukkarinen, Aapo
Convex body domination is a technique, where operators acting on vector-valued functions are estimated via certain convex body averages of the input functions. This domination lets one deduce various matrix weighted bounds for these operators and the
Externí odkaz:
http://arxiv.org/abs/2411.02078
Autor:
Ghosh, Abhishek, Singh, Rajesh K.
In this article, we study weighted estimates for a general class of lacunary maximal functions on homogeneous groups. As an application we derive improved weighted estimates for the lacunary maximal function associated to the Kor\'anyi spherical mean
Externí odkaz:
http://arxiv.org/abs/2411.01557
Autor:
Hsu, Martin, Lie, Victor
Given a curve $\vec{\gamma}=(t^{\alpha_1}, t^{\alpha_2}, t^{\alpha_3})$ with $\vec{\alpha}=(\alpha_1,\alpha_2,\alpha_3)\in \mathbb{R}_{+}^3$, we define the Carleson-Radon transform along $\vec{\gamma}$ by the formula $$ C_{[\vec{\alpha}]}f(x,y):=\sup
Externí odkaz:
http://arxiv.org/abs/2411.01660