Results 61 to 70 of about 2,771 (142)
Vector-valued extensions of operators through multilinear limited range extrapolation
, 2019 We give an extension of Rubio de Francia's extrapolation theorem for functions taking values in UMD Banach function spaces to the multilinear limited range setting. In particular we show how boundedness of an $m$-(sub)linear operator \[T:L^{p_1}(w_1^{p_1}
Lorist, Emiel, Nieraeth, Bas
core +1 more source
Weighted Sobolev estimates of the truncated Beurling operator
Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 232-239, January 2024.Abstract Given a bounded planar domain D$D$ with Wk+1,∞$W^{k+1, \infty }$ boundary, k∈Z+∪{0}$ k\in \mathbb {Z}^+\cup \lbrace 0\rbrace$, and a weight μ∈Ap,1
Yifei Pan, Yuan Zhang
wiley +1 more source
BOUNDEDNESS OF LITTLEWOOD-PALEY OPERATORS WITH VARIABLE KERNEL ON THE WEIGHTED HERZ-MORREY SPACES WITH VARIABLE EXPONENT [PDF]
Surveys in Mathematics and its Applications, 2020 Let Ω∈L∞(ℝn)×L2(Sn-1) be a homogeneous function of degree zero. In this article, we obtain some boundedness of the parameterized Littlewood-Paley operators with variable kernels on weighted Herz-Morrey spaces with variable exponent.
Afif Abdalmonem +2 more
doaj
Banach algebra of the Fourier multipliers on weighted Banach function spaces
Concrete Operators, 2015 Let MX,w(ℝ) denote the algebra of the Fourier multipliers on a separable weighted Banach function space X(ℝ,w).We prove that if the Cauchy singular integral operator S is bounded on X(ℝ, w), thenMX,w(ℝ) is continuously embedded into L∞(ℝ).
Karlovich Alexei
doaj +1 more source
Muckenhoupt-type weights and quantitative weighted estimates in the bessel setting
Mathematische ZeitschriftPart of the intrinsic structure of singular integrals in the Bessel setting is captured by Muckenhoupt-type weights. Anderson--Kerman showed that the Bessel Riesz transform is bounded on weighted $L^p_w$ if and only if $w$ is in the class $A_{p,λ}$. We introduce a new class of Muckenhoupt-type weights $\widetilde A_{p,λ}$ in the Bessel setting, which ...
Li, Ji +3 more
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Exponent Sets and Muckenhoupt Ap-weights
, 2022 In the study of the weighted p-Laplace equation, it is often important to acquire good estimates of capacities. One useful tool for finding such estimates in metric spaces is exponent sets, which are sets describing the local dimensionality of the measure associated with the space.
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A direct proof of the weighted Pólya–Knopp inequality following Carleson’s method
Comptes Rendus. MathématiqueThe aim of the paper is to provide a direct proof of the weighted Pólya–Knopp inequality. This inequality (which is a limiting case of the Ariño–Muckenhoupt inequalities), involving non-increasing functions, was initially established by Sbordone–Wik, who
Kondo, Emu +2 more
doaj +1 more source
Electronic Journal of Differential Equations, 2017 In this article we consider quasi-linear second-order elliptic equations of divergence structure with Makenhaupt weight that degenerates over a small part of the domain. We show that the classical Harnack's inequality does not hold in this case, and
Yuriy A. Alkhutov, Sarvan T. Huseynov
doaj
Muckenhoupt weights and Lindelöf theorem for harmonic mappings
Advances in Mathematics, 2015 We extend the result of Lavrentiev which asserts that the harmonic measure and the arc-length measure are $A_\infty$ equivalent in a chord-arc Jordan domain. By using this result we extend the classical result of Lindelöf to the class of quasiconformal (q.c.) harmonic mappings by proving the following assertion.
openaire +3 more sources