Results 111 to 120 of about 12,093 (237)

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

Advances 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

On representation of solutions to the heat equation

Comptes 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
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The Helmholtz decomposition of a $BMO$ type vector field in a slightly perturbed half space [PDF]

, 2023
Yoshikazu Giga, Zhongyang Gu
openalex   +1 more source

Local-in-Time Solvability and Space Analyticity for the Navier–Stokes Equations with BMO-Type Initial Data [PDF]

, 2019
Liaosha Xu
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Commutators generated by BMO-functions and the fractional integrals on Orlicz-Morrey spaces [PDF]

, 2023
Takeshi Iida
openalex   +1 more source

BMO Boundedness for Banach Space Valued Singular Integrals

Analysis in Theory and Applications, 2011
Summary: We consider a class of Banach space valued singular integrals. The \(L^p\) boundedness of these operators is obtained. The paper discusses their boundedness from BMO to BMO. As applications, we get BMO boundedness for the classic \(g\)-function and the Marcinkiewicz integral. Some known results are improved.
openaire   +2 more sources

Traces of BMO-Sobolev spaces [PDF]

Proceedings of the American Mathematical Society, 1981
openaire   +2 more sources

Interpolation inequalities between Lorentz space and BMO: the endpoint case \((L^{1,\infty}, BMO)\)

Electronic Journal of Differential Equations, 2019
Summary: We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sobolev norm. In particular, we obtain an interpolation inequality for \((L^{1,\infty}, BMO)\), that we call the endpoint case.
Dao, Nguyen Anh, Hanh, Nguyen Thi Ngoc, Hieu, Tran Minh, Nguyen, Huy Bac   +3 more
openaire   +3 more sources

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

Journal 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, Irshad Ayoob, Amjad Hussain, Nabil Mlaiki   +3 more
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H^1 and BMO for certain nondoubling metric measure spaces [PDF]

, 2008
Carbonaro, Andrea, Giancarlo Mauceri, Stefano Meda   +2 more
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