Results 11 to 20 of about 470 (149)
On the extension of Muckenhoupt weights in metric spaces [PDF]
Nonlinear Analysis, 2022 A theorem by Wolff states that weights defined on a measurable subset of $\mathbb{R}^n$ and satisfying a Muckenhoupt-type condition can be extended into the whole space as Muckenhoupt weights of the same class. We give a complete and self-contained proof of this theorem generalized into metric measure spaces supporting a doubling measure.
Kurki, Emma Karoliina, Mudarra, Carlos
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Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases [PDF]
Transactions of the American Mathematical Society, 2015 Let B \mathfrak {B} be a homothecy invariant collection of convex ...
Hagelstein, Paul +2 more
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Unified Framework for Continuous and Discrete Relations of Gehring and Muckenhoupt Weights on Time Scales [PDF]
AxiomsThis article contains some relations, which include some embedding and transition properties, between the Muckenhoupt classes Mγ;γ>1 and the Gehring classes Gδ;δ>1 of bi-Sobolev weights on a time scale T.
Samir H. Saker +5 more
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Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases [PDF]
Journal of Function Spaces and Applications, 2011 We study compact embeddings for weighted spaces of Besov and Triebel-Lizorkin type where the weight belongs to some Muckenhoupt Ap class. This extends our previous results [25] to more general weights of logarithmically disturbed polynomial growth, both ...
Dorothee D. Haroske, Leszek Skrzypczak
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Exponent Sets and Muckenhoupt Ap-weights [PDF]
, 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.
Jonsson, Jakob
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Muckenhoupt-type weights and quantitative weighted estimates in the bessel setting [PDF]
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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Powers of Distances to Lower Dimensional Sets as Muckenhoupt Weights [PDF]
Acta Mathematica Hungarica, 2014 Let $(X,d,μ)$ be an Ahlfors metric measure space. We give sufficient conditions on a closed set $F\subseteq X$ and on a real number $β$ in such a way that $d(x,F)^β$ becomes a Muckenhoupt weight. We give also some illustrations to regularity of solutions of partial differential equations and regarding some classical fractals.
Aimar, Hugo Alejandro +3 more
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Muckenhoupt weights and doubling measures [PDF]
Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Any: 2025.
Rams Domenech, Roger
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A note on
Journal of Inequalities and Applications, 2002 For two weights , on , we show that (the Muckenhoupt class of weights) if and only if and , under the assumption that for every . We also prove a rather general result on pasting weights on that satisfy the condition.
Riera Mario Pérez
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Parabolic Muckenhoupt weights in the Euclidean space [PDF]
Journal of Mathematical Analysis and Applications, 2011 The author introduces the parabolic analogue to Muckenhoupt's \(A_p\) weights. Given a cube \(Q=\prod_{i=1}^n [a_i, a_i+h]\) and \(r>0\), the author denotes by \[ Q^{+,r}= \prod_{i=1}^{n-1} \big[a_i,a_i+h\big]\times \big[a_n+rh,a_n+(r+1)h\big] \] the forward in time \(r\)-translation of the cube. Similarly, the backward \(r\)-translation is denoted by \
Berkovits, Lauri, Lauri Berkovits
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