Results 121 to 130 of about 4,696,878 (266)

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

γ-Radonifying operators and UMD-valued Littlewood–Paley–Stein functions in the Hermite setting on BMO and Hardy spaces [PDF]

open access: green, 2012
Jorge J. Betancor   +4 more
openalex   +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

A limiting case in partial regularity for quasiconvex functionals

open access: yesMathematics in Engineering
Local minimizers of nonhomogeneous quasiconvex variational integrals with standard $ p $-growth of the type $ w\mapsto \int \left[F(Dw)-f\cdot w\right]{\,{{\rm{d}}}x} $ feature almost everywhere $ \mbox{BMO} $-regular gradient provided that ...
Mirco Piccinini
doaj   +1 more source

On representation of solutions to the heat equation

open access: yesComptes 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
doaj   +1 more source

H^1 and BMO for certain nondoubling metric measure spaces [PDF]

open access: green, 2008
Antonella Carbonaro   +2 more
openalex   +1 more source

Duality, BMO and Hankel operators on Bernstein spaces

open access: yesJournal of Functional Analysis
In this paper we deal with the problem of describing the dual space $(B^1_κ)^*$ of the Bernstein space $B^1_κ$, that is the space of entire functions of exponential type at most $κ>0$ whose restriction to the real line is Lebesgue integrable. We provide several characterisations, showing that such dual space can be described as a quotient of the ...
Bellavita, Carlo, Peloso, Marco M.
openaire   +4 more sources

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