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Fundamental Properties of Muckenhoupt and Gehring Weights on Time Scales [PDF]
AxiomsSome fundamental properties of the Muckenhoupt class Ap of weights and the Gehring class Gq of weights on time scales and some relations between them will be proved in this paper. To prove the main results, we will apply an approach based on proving some
Ravi P. Agarwal +3 more
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Muckenhoupt Matrix Weights [PDF]
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.
Hrvoje Sikic +2 more
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Self-Improving Properties of Continuous and Discrete Muckenhoupt Weights: A Unified Approach [PDF]
Axioms, 2023 In this paper, we develop a new technique on a time scale T to prove that the self-improving properties of the Muckenhoupt weights hold. The results contain the properties of the weights when T=R and when T=N, and also can be extended to cover different ...
Maryam M. Abuelwafa +3 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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Local Muckenhoupt weights on Gaussian measure spaces
Journal of Mathematical Analysis and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Songbai Wang
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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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Local Muckenhoupt class for variable exponents
Journal of Inequalities and Applications, 2021 This work extends the theory of Rychkov, who developed the theory of A p loc $A_{p}^{\mathrm{loc}}$ weights. It also extends the work by Cruz-Uribe SFO, Fiorenza, and Neugebauer. The class A p ( ⋅ ) loc $A_{p(\cdot )}^{\mathrm{loc}}$ is defined.
Toru Nogayama, Yoshihiro Sawano
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Capacities of generalized condensers with $A_1$-Muckenhoupt weight
Sibirskie Elektronnye Matematicheskie Izvestiya, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dymchenko, Yuri Victorovich +1 more
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Scalar and vector Muckenhoupt weights [PDF]
Indiana University Mathematics Journal, 2007 We inspect the relationship between the A p,q condition for families of norms on vector valued functions and the Ap condition for scalar weights. In particular, we will show if we are considering a norm-valued function ρ (·) such that, uniformly in all nonzero vectors X, ρ (·) (x) p ∈ Ap and ρ* (·) (x) q ∈ Aq, then the following hold: If p = q = 2,
Michael Lauzon, Sergei Treil
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Optimal factorization of Muckenhoupt weights [PDF]
Transactions of the American Mathematical Society, 2000 Peter Jones’ theorem on the factorization of A p A_p
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