Results 51 to 60 of about 12,093 (237)

On Hardy and BMO Spaces for Grushin Operator [PDF]

Journal of Fourier Analysis and Applications, 2015
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Dziubański, Jacek, Jotsaroop, K.
openaire   +2 more sources

Composition operators on Hardy-Sobolev spaces and $BMO$-quasiconformal mappings [PDF]

, 2021
Alexander Menovschikov, Alexander Ukhlov
openalex   +3 more sources

Functional Calculus on BMO and Related Spaces

Journal of Functional Analysis, 2002
It is considered a nonlinear autonomous superposition operator \[ {\mathbf T}_f [g] = f\circ g \] on a certain subspace \(X\) of the space \(BMO({\mathbb R}^n)\). The question is to characterise those Borel measurable functions \(f\) for which the operator \({\mathbf T}_f\) is continuous or differentiable on \(X\).
BOURDAUD G., LANZA DE CRISTOFORIS, MASSIMO, SICKEL W.   +2 more
openaire   +4 more sources

A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn

Abstract and Applied Analysis, 2012
We introduce certain type of weighted variant of Riemann-Liouville fractional integral on ℝn and obtain its sharp bounds on the central Morrey and λ-central BMO spaces.
Zun Wei Fu, Shan Zhen Lu, Wen Yuan
doaj   +1 more source

UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces

, 2013
We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions associated with Poisson semigroups for Bessel operators are defined by using fractional derivatives.
Betancor, J. J., Castro, A. J., Rodríguez-Mesa, L.   +2 more
core   +1 more source

Well/ill-posedness for the dissipative Navier–Stokes system in generalized Carleson measure spaces

Advances in Nonlinear Analysis, 2017
As an essential extension of the well known case β∈(12,1]{\beta\kern-1.0pt\in\kern-1.0pt({\frac{1}{2}},1]} to the hyper-dissipative case β∈(1,∞){\beta\kern-1.0pt\in\kern-1.0pt(1,\infty)}, this paper establishes both well-posedness and ill-posedness (not ...
Wang Yuzhao, Xiao Jie
doaj   +1 more source

Marcinkiewicz integrals associated with Schrödinger operator and their commutators on vanishing generalized Morrey spaces

Boundary Value Problems, 2017
Let L = − Δ + V $L=-\Delta+V$ be a Schrödinger operator, where Δ is the Laplacian on R n $\mathbb{R}^{n}$ and the non-negative potential V belongs to the reverse Hölder class RH q $\mathit{RH}_{q}$ for q ≥ n / 2 $q \ge n/2$ .
Ali Akbulut, Vagif S Guliyev, Mehriban N Omarova   +2 more
doaj   +1 more source

$BMO$ Spaces for Laguerre Expansions

Taiwanese Journal of Mathematics, 2012
Let $\{\varphi_n^{\alpha}\}_{n \in \mathbb{N}}$ be the Laguerre functions of Hermite type with index $\alpha$. These are eigenfunctions of the Laguerre differential operator $L_\alpha = \dfrac{1}{2}(-\frac{d^2}{dy^2} + y^2 + \frac{1}{y^2}(\alpha^2-\frac{1}{4}))$. We define and study a $BMO$-type space $BMO_{L_{\alpha}}$, which is identified as the dual
Cha, Li, Liu, Heping
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Logarithmically Improved Regularity Criteria for a Fluid System with the Linear Soret Effect

Abstract and Applied Analysis, 2012
We consider the 3D fluid system with the linear Soret effect. We obtain a logarithmically improved regularity criterion in the BMO space.
Minglei Zang, Xiaoyan Guan
doaj   +1 more source

Molecular Characterizations and Dualities of Variable Exponent Hardy Spaces Associated with Operators

, 2015
Let $L$ be a linear operator on $L^2(\mathbb R^n)$ generating an analytic semigroup $\{e^{-tL}\}_{t\ge0}$ with kernels having pointwise upper bounds and $p(\cdot):\ \mathbb R^n\to(0,1]$ be a variable exponent function satisfying the globally log-H\"older
Yang, Dachun, Zhuo, Ciqiang
core   +1 more source