Square functions associated to Schrödinger operators

• Autorzy: I. Abu-Falahah , P. R. Stinga , J. L. Torrea
• Języki publikacji: EN

Abstrakty

EN

We characterize geometric properties of Banach spaces in terms of boundedness of square functions associated to general Schrödinger operators of the form ℒ = -Δ + V, where the nonnegative potential V satisfies a reverse Hölder inequality. The main idea is to sharpen the well known localization method introduced by Z. Shen. Our results can be regarded as alternative proofs of the boundedness in H¹, $L^{p}$ and BMO of classical ℒ-square functions.

Kategorie tematyczne

• 42B35: Function spaces arising in harmonic analysis
• 35J10: Schr\"odinger operator
• 46B20: Geometry and structure of normed linear spaces
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 203
• Numer: 2
• Strony: 171-194

Daty

wydano

2011

Twórcy

autor

I. Abu-Falahah

• Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain

autor

P. R. Stinga

• Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain

autor

J. L. Torrea

• Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid
• ICMAT-CSIC-UAM-UCM-UC3M, 28049 Madrid, Spain

Identyfikatory

DOI

10.4064/sm203-2-4