Results 11 to 20 of about 801,210 (251)

Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces

open access: greenRevista Matemática Iberoamericana, 2012
We prove a vector-valued non-homogeneous Tb theorem on certain quasimetric spaces equipped with what we call an upper doubling measure. Essentially, we merge recent techniques from the domain and range side of things, achieving a Tb ...
Henri Martikainen
  +8 more sources

Weighted Morrey spaces on non-homogeneous metric measure spaces

open access: bronzeJournal of Mathematical Analysis and Applications, 2017
Abstract Let ( X , d , μ ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this setting, the authors introduce the weighted Morrey space and the weighted weak Morrey space, and show several properties of these spaces.
Yu Yan, Jie Chen, Haibo Lin
openaire   +3 more sources

Herz type Hardy spaces on non-homogeneous metric measure space [PDF]

open access: bronzeSCIENTIA SINICA Mathematica, 2018
Let $(\mathcal{X},d,\mu)$ be a non-homogeneous metric measure spacesatisfying both the geometrically doubling and the upper doublingconditions. In this paper, the Herz spaces on the non-homogeneousmetric measure space are introduced. Then the decomposition of theHerz space by the central blocks is obtained.
Zhao Kai, Han Yaoyao
openaire   +3 more sources

Maximal Multilinear Commutators on Non-homogeneous Metric Measure Spaces [PDF]

open access: goldTaiwanese Journal of Mathematics, 2017
Let $(\mathcal{X},d,\mu)$ be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. Let $T_*$ be the maximal Calderon-Zygmund operator and $\vec{b} := (b_1,\ldots,b_m)$ be a finite family of $\widetilde{\operatorname{RBMO}}(\mu)$ functions.
Chen, Jie, Lin, Haibo
openaire   +3 more sources

An interpolation theorem for sublinear operators on non-homogeneous metric measure spaces

open access: hybridBanach Journal of Mathematical Analysis, 2012
Let $({\mathcal X}, d, )$ be a metric measure space and satisfy the so-called upper doubling condition and the geometrically doubling condition. In this paper, the authors establish an interpolation result that a sublinear operator which is bounded from the Hardy space $H^1( )$ to $L^{1,\,\infty}( )$ and from $L^\infty( )$ to the BMO-type space ${\
Lin, Haibo, Yang, Dongyong
  +8 more sources

Boundedness of maximal Calderón–Zygmund operators on non-homogeneous metric measure spaces [PDF]

open access: greenProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2014
Let (X, d, μ) be a metric measure space and let it satisfy the so-called upper doubling condition and the geometrically doubling condition. We show that, for the maximal Calderón–Zygmund operator associated with a singular integral whose kernel satisfies the standard size condition and the Hörmander condition, its Lp(μ)-boundedness with p ∈ (1, ∞) is ...
Suile Liu, Dachun Yang, Yan Meng
  +8 more sources

Hardy spaces H p over non-homogeneous metric measure spaces and their applications [PDF]

open access: greenScience China Mathematics, 2015
Let $({\mathcal X},d, )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.
Haibo Lin   +3 more
openaire   +6 more sources

Boundedness of Calderón–Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations

open access: bronzeJournal of Mathematical Analysis and Applications, 2012
AbstractLet (X,d,μ) be a metric measure space satisfying the upper doubling and the geometrically doubling conditions in the sense of T. Hytönen. In this paper, the authors prove that the boundedness of a Calderón–Zygmund operator T on L2(μ) is equivalent to either of the boundedness of T from the atomic Hardy space H1(μ) to L1,∞(μ) or from H1(μ) to L1(
Liu, Suile, Yang, Dachun, Yang, Dongyong
openaire   +3 more sources

Home - About - Disclaimer - Privacy