Results 21 to 30 of about 3,877,417 (111)
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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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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Boundedness of Fractional Integral Operators on Hardy‐Amalgam Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 We establish the boundedness of the fractional integral operators on the Hardy‐amalgam spaces.
Ka Luen Cheung +3 more
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Summation of Multiple Fourier Series in Matrix Weighted -Spaces
Journal of Mathematics, 2013 This paper is concerned with rectangular summation of multiple Fourier series in matrix weighted -spaces. We introduce a product Muckenhoupt condition for matrix weights and prove that rectangular Fourier partial sums converge in the corresponding ...
Morten Nielsen
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Controllability of strongly degenerate parabolic problems with strongly singular potentials
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We prove a null controllability result for a parabolic Dirichlet problem with non smooth coefficients in presence of strongly singular potentials and a coefficient degenerating at an interior point.
Genni Fragnelli, Dimitri Mugnai
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Commutators of Multilinear Singular Integrals on Weighted Herz Spaces
Journal of Function Spaces, 2015 Suppose b→=(b1,…,bm)∈(BMO)m, TΠb is the iterated commutator of b→ and the m-linear Calderón-Zygmund operator T. The purpose of this paper is to discuss the boundedness properties of TΠb on weighted Herz spaces with general Muckenhoupt weights.
Baozhen Wang, Huimin Wang
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Double Points Local Hardy-Littlewood Maximal Operator
Abstract and Applied Analysis, 2013 A double points local Hardy-Littlewood maximal operator Ma,b,k,loc is defined and investigated in Euclidean spaces. It is proved that Ma,b,k,loc is bounded on Lpw when p>1 and from L1w to L1,∞w with weight function w∈Aa,b,k,loc, the class of double ...
Futao Song, Na Ju
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BMO and the John-Nirenberg Inequality on Measure Spaces
Analysis and Geometry in Metric Spaces, 2020 We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢.
Dafni Galia, Gibara Ryan, Lavigne Andrew
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Современная наука и инновации, 2022 For the Riesz potential operator there are proved weighted estimates within the framework of weighted Lebesgue spaces with variable exponent. In case is a bounded do-main, the order potential is allowed to be variable as well.
Boris G. Vaculov +2 more
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