Results 91 to 100 of about 198 (133)

BMO spaces related to Laguerre semigroups

open access: yesMathematische Nachrichten, 2013
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
openaire   +2 more sources

On the boundedness of the Hardy operator in the weighted space BMO

open access: yesAnalysis Mathematica, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Uniform boundedness and compactness for the commutator of an extension of Riesz transform on stratified Lie groups

open access: yesAdvances in Nonlinear Analysis
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
doaj   +1 more source

Duality, BMO and Hankel operators on Bernstein spaces

open access: yesJournal of Functional Analysis
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.
openaire   +4 more sources

On representation of solutions to the heat equation

open access: yesComptes Rendus. Mathématique
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
doaj   +1 more source

Traces of BMO-Sobolev spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
openaire   +2 more sources

Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space

open access: yesJournal of Inequalities and Applications
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
doaj   +1 more source

The multilinear commutators of Hardy operator on variable central Morrey spaces(变指数中心Morrey空间的多线性Hardy算子交换子)

open access: yesZhejiang Daxue xuebao. Lixue ban
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)
doaj   +1 more source

Maximal operators on spaces BMO and BLO

open access: yesThe Journal of Geometric Analysis
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.
openaire   +2 more sources

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