Results 21 to 30 of about 2,771 (142)
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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Weighted Grand Herz‐Type Spaces and Its Applications
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the weighted grand Herz spaces and weighted grand Herz‐type Hardy spaces. The decompositional characterizations of these spaces are established. As its applications, the boundedness of some sublinear operators are established.
Xia Yu, Zongguang Liu, Andrea Scapellato
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 Let (X, d, μ) be a metric measure space endowed with a metric d and a non‐negative Borel doubling measure μ. Let L be a non‐negative self‐adjoint operator on L2(X). Assume that the (heat) kernel associated to the semigroup e−tL satisfies a Gaussian upper bound.
Jiawei Shen +3 more
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Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we establish some new generalizations of reversed dynamic inequalities of Hilbert‐type via supermultiplicative functions by applying reverse Hölder inequalities with Specht’s ratio on time scales. We will generalize the inequalities by using a supermultiplicative function which the identity map represents a special case of it. Also, we
M. Zakarya +5 more
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Commutators of Pseudodifferential Operators on Weighted Hardy Spaces
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we establish an endpoint estimate for the commutator, [b, T], of a class of pseudodifferential operators T with symbols in Hörmander class Sρ,δmRn. In particular, there exists a nontrivial subspace of BMORn such that, when b belongs to this subspace, the commutators [b, T] is bounded from Hω1Rn into Lω1Rn, which we extend the well‐known ...
Yu-long Deng, Antonio Masiello
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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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Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups
Journal of the London Mathematical Society, Volume 103, Issue 3, Page 1066-1119, April 2021., 2021 Abstract We prove an almost everywhere convergence result for Bochner–Riesz means of Lp functions on Heisenberg‐type groups, yielding the existence of a p>2 for which convergence holds for means of arbitrarily small order. The proof hinges on a reduction of weighted L2 estimates for the maximal Bochner–Riesz operator to corresponding estimates for the ...
Adam D. Horwich, Alessio Martini
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Local Boundedness and Harnack Inequality for Solutions of Linear Nonuniformly Elliptic Equations
Communications on Pure and Applied Mathematics, Volume 74, Issue 3, Page 453-477, March 2021., 2021 Abstract We study local regularity properties for solutions of linear, nonuniformly elliptic equations. Assuming certain integrability conditions on the coefficient field, we prove local boundedness and Harnack inequality. The assumed integrability assumptions are essentially sharp and improve upon classical results by Trudinger.
Peter Bella, Mathias Schäffner
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Global gradient estimates for Dirichlet problems of elliptic operators with a BMO antisymmetric part
Advances in Nonlinear Analysis, 2022 Let n≥2n\ge 2 and Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} be a bounded nontangentially accessible domain. In this article, the authors investigate (weighted) global gradient estimates for Dirichlet boundary value problems of second-order elliptic equations
Yang Sibei, Yang Dachun, Yuan Wen
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Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications [PDF]
, 2018 We propose a new variational model in weighted Sobolev spaces with non-standard weights and applications to image processing. We show that these weights are, in general, not of Muckenhoupt type and therefore the classical analysis tools may not apply ...
Antil, Harbir, Rautenberg, Carlos N.
core +3 more sources