Results 1 to 10 of about 145 (135)
Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces [PDF]
Journal of Inequalities and Applications, 2017 Let φ : R n × [ 0 , ∞ ) → [ 0 , ∞ ) $\varphi:\mathbb{R}^{n}\times[0, \infty) \to[0, \infty)$ satisfy that φ ( x , ⋅ ) $\varphi(x, \cdot)$ , for any given x ∈ R n $x\in\mathbb{R}^{n}$ , is an Orlicz function and φ ( ⋅ , t ) $\varphi(\cdot, t)$ is a ...
Bo Li, Minfeng Liao, Baode Li
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EXPONENTIAL APPROXIMATION OF FUNCTIONS IN LEBESGUE SPACES WITH MUCKENHOUPT WEIGHT
Проблемы анализа, 2022 Using a transference result, several inequalities of approximation by entire functions of exponential type in 𝒞(R), the class of bounded uniformly continuous functions defined on R=(-∞,+∞), are extended to the Lebesgue spaces 𝐿^𝑝(𝜚𝑑𝑥) 1 ...
R. Akgun
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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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Sharp inequalities for one-sided Muckenhoupt weights [PDF]
Collectanea Mathematica, 2017 Let $A_\infty ^+$ denote the class of one-sided Muckenhoupt weights, namely all the weights $w$ for which $\mathsf M^+:L^p(w)\to L^{p,\infty}(w)$ for some $p>1$, where $\mathsf M^+$ is the forward Hardy-Littlewood maximal operator. We show that $w\in A_\infty ^+$ if and only if there exist numerical constants $γ\in(0,1)$ and $c>0$ such that $$ w(\
Paul Hagelstein +2 more
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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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Calderon weights as Muckenhoupt weights [PDF]
Indiana University Mathematics Journal, 2013 The Calder on operator S is the sum of the the Hardy averaging operator and its adjoint. The weights w for which S is bounded on L p (w) are the Calder on weights of the class Cp. We give a new characterization of the weights in Cp by a single condition which allows us to see thatCp is the class of Muckenhoupt weights associated to a maximal operator ...
Duoandikoextea, Javier +2 more
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Muckenhoupt-Type Conditions on Weighted Morrey Spaces [PDF]
Journal of Fourier Analysis and Applications, 2021 31 ...
Duoandikoetxea, Javier +1 more
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Weighted Central BMO Spaces and Their Applications
Journal of Function Spaces, 2021 In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces.
Huan Zhao, Zongguang Liu
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The Journal of Geometric Analysis, 2020 We study matrix weights defined on the multivariate torus Td. Sufficient conditions for a matrix weight to be in the Muckenhoupt A2-class are studied, and two such sufficiency results obtained by S. Bloom for d=1 are generalized to the multivariate setting.
Morten Nielsen, Hrvoje Šikić
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