Results 91 to 100 of about 198 (133)
BMO spaces related to Laguerre semigroups
For the system of Laguerre functions we define a suitable BMO space from the atomic version of the Hardy space considered by Dziubański in , where is the maximal operator of the heat semigroup associated to that Laguerre system. We prove boundedness of over a weighted version of that BMO, and we extend such result to other systems of Laguerre ...
Harboure, Eleonor Ofelia +1 more
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On the boundedness of the Hardy operator in the weighted space BMO
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Let G{\mathcal{G}} be a stratified Lie group, and let {Xj}1≤j≤n1{\left\{{X}_{j}\right\}}_{1\le j\le {n}_{1}} be a basis of the left-invariant vector fields of degree one on G{\mathcal{G}} and Δ=−∑j=1n1Xj2\Delta =-{\sum }_{j=1}^{{n}_{1}}{X}_{j}^{2} be the
Han Xueting, Chen Yanping
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Duality, BMO and Hankel operators on Bernstein spaces
In this paper we deal with the problem of describing the dual space $(B^1_κ)^*$ of the Bernstein space $B^1_κ$, that is the space of entire functions of exponential type at most $κ>0$ whose restriction to the real line is Lebesgue integrable. We provide several characterisations, showing that such dual space can be described as a quotient of the ...
Bellavita, Carlo, Peloso, Marco M.
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On representation of solutions to the heat equation
We propose a simple method to obtain semigroup representation of solutions to the heat equation using a local $L^2$ condition with prescribed growth and a boundedness condition within tempered distributions.
Auscher, Pascal, Hou, Hedong
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Traces of BMO-Sobolev spaces [PDF]
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Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space
In this article, we analyze the boundedness for the fractional bilinear Hardy operators on variable exponent weighted Morrey–Herz spaces M K ˙ q , p ( ⋅ ) α ( ⋅ ) , λ ( w ) ${M\dot{K}^{\alpha (\cdot ),\lambda}_{q,p(\cdot)}(w)}$ .
Muhammad Asim +3 more
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With the help of the boundedness of the n-dimensional fractional Hardy operator and its adjoint operator on Lebesgue space with variable exponent, by applying hierarchical decomposition of function and real variable techniques, we obtain the boundedness ...
辛银萍(XIN Yinping)
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The dual space of the space {BMO} for a stochastic point process [PDF]
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Maximal operators on spaces BMO and BLO
We consider maximal kernel-operators on abstract measure spaces $(X,μ)$ equipped with a ball-basis. We prove that under certain asymptotic condition on the kernels those operators maps boundedly BMO(X) into BLO(X), generalizing the well-known results of Bennett-DeVore-Sharpley and Bennett for the Hardy-Littlewood maximal function.
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