Searched for: subject%3A%22Hardy%255C-Littlewood%255C%2Bmaximal%255C%2Boperator%22
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document
Lorist, E. (author)
In this dissertation we develop vector-valued harmonic analysis methods. Particular emphasis is put on the study of stochastic singular integral operators, which arise naturally in the study of SPDE.
doctoral thesis 2021
document
Nieraeth, Z. (author)
The subject of this thesis is the study of the multilinear Muckenhoupt weight classes and the quantitative boundedness of operators with respect to these weights in both the scalar-valued and the vector-valued setting. This includes the study of multisublinear Hardy-Littlewood maximal operators, sparse forms, and multilinear Rubio de Francia...
doctoral thesis 2021
document
Bonnema, D.M. (author)
In this thesis we study the boundedness of a generalization of the Hardy-Littlewood maximal operator, involving rearrangement invariant Banach function space and indices of the spaces.<br/> We first consider a classical proof of boundedness of the Hardy-Littlewood maximal operator on rearrangement invariant Banach function spaces. After...
bachelor thesis 2020
document
Lorist, E. (author)
We prove the ℓ<sup>s</sup>-boundedness of a family of integral operators with an operator-valued kernel on UMD Banach function spaces. This generalizes and simplifies earlier work by Gallarati, Veraar and the author, where the ℓ<sup>s</sup>-boundedness of this family of integral operators was shown on Lebesgue spaces. The proof is based on a...
book chapter 2019
document
Hänninen, Timo S. (author), Lorist, E. (author)
We study the domination of the lattice Hardy–Littlewood maximal operator by sparse operators in the setting of general Banach lattices. We prove that the admissible exponents of the dominating sparse operator are determined by the q-convexity of the Banach lattice.
journal article 2019
Searched for: subject%3A%22Hardy%255C-Littlewood%255C%2Bmaximal%255C%2Boperator%22
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