Results 101 to 110 of about 4,638,257 (255)

Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces

open access: yesJournal of Function Spaces, 2019
In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·)
Xukui Shao, Shuangping Tao
doaj   +1 more source

BMOand Hankel operators on Bergman spaces [PDF]

open access: yesPacific Journal of Mathematics, 1992
Let \(\text{BMO}_ \partial^ p\) be the space of functions on the open unit ball in \(\mathbb{C}^ n\) with bounded mean oscillation in the Bergman metric defined using the volume \(L^ p\) integral. Here the author studies the structure of \(\text{BMO}_ \partial^ p\), in particular how \(\text{BMO}_ \partial^ p\) depends on \(p\). He also characterizes \(
openaire   +3 more sources

QK Spaces on the Unit Circle

open access: yesJournal of Function Spaces, 2014
We introduce a new space QK(∂D) of Lebesgue measurable functions on the unit circle connecting closely with the Sobolev space. We obtain a necessary and sufficient condition on K such that QK(∂D)=BMO(∂D), as well as a general criterion on weight ...
Jizhen Zhou
doaj   +1 more source

Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators

open access: yesJournal of Function Spaces and Applications, 2013
Let L=-Δ+V be a Schrödinger operator on ℝn (n≥3), where V≢0 is a nonnegative potential belonging to certain reverse Hölder class Bs for s≥n/2. In this paper, we prove the boundedness of commutators ℛbHf=bℛHf-ℛH(bf) generated by the higher order Riesz ...
Yu Liu, Lijuan Wang, Jianfeng Dong
doaj   +1 more source

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

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