Results 81 to 90 of about 198 (133)

Commutators, BMO, Hardy Spaces and Factorization: A Survey

Real Analysis Exchange, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the Jackson type inequality in the dyadic BMO space

Моделирование и анализ информационных систем, 2009
In this paper the direct theorem of the approximation theory for functions from the dyadic Besov space is proved. Together with the inverse theorem, it allows to solve an interpolation problem between dyadic BMO and the dyadic Besov space.
I. P. Irodova
doaj  

Boundedness of homogeneous fractional integral operator on Morrey space

Journal of Inequalities and Applications, 2016
For 0 < α < n ...
Siying Meng, Yanping Chen
doaj   +1 more source

Bilinear θ-type Calderón–Zygmund operators and its commutator on generalized weighted Morrey spaces over RD-spaces

Results in Applied Mathematics
An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the extra property that a reverse doubling property holds in X.
Suixin He, Shuangping Tao
doaj   +1 more source

Local hardy and BMO spaces on non-homogeneous spaces [PDF]

Journal of the Australian Mathematical Society, 2005
AbstractLet µ be Radon measure on Rd which may be non doubling. The only condition that µ must satisfy is the size condition µ(B(x, r)) ≤ Crn for some fixed n є (0, d). Recently, Tolsa introduced the spaces RBMO(µ) and Hatb1.∞ (µ), which, in some ways, play the role of the classical spaces BMO and H1 in case u is a doubling measure.
openaire   +2 more sources

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

Journal 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

QK Spaces on the Unit Circle

Journal 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

A new version of Carleson measure associated with Hermite operator

Journal of Inequalities and Applications, 2018
Let L=−Δ+|x|2 $L=-\Delta+|x|^{2}$ be a Hermite operator, where Δ is the Laplacian on Rd $\mathbb {R}^{d}$. In this paper we define a new version of Carleson measure associated with Hermite operator, which is adapted to the operator L.
Jizheng Huang, Yaqiong Wang, Weiwei Li
doaj   +1 more source

Hardy Spaces and bmo on Manifolds with Bounded Geometry

Journal of Geometric Analysis, 2008
We develop the theory of the "local" Hardy space h1(M) and John-Nirenberg space bmo(M) when M is a Riemannian manifold with bounded geometry, building on the classic work of Fefferman-Stein and subsequent material, particularly of Goldberg and Ionescu.
openaire   +3 more sources

Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators

Journal 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