Weighted \(L^p\) estimates of Kato square roots associated to degenerate elliptic operators

DOI10.5565/PUBLMAT6121704MaRDI QIDQ2405869

Junqiang Zhang, Da Chun Yang

Publication date: 28 September 2017

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05478

zbMATH Keywords

Hardy spaceLebesgue spacedegenerate elliptic operatorMuckenhoupt weightRiesz transformKato square rootsquare function

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Degenerate elliptic equations (35J70) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) (H^p)-spaces (42B30)

Related Items (6)

On the Kato problem and extensions for degenerate elliptic operators ⋮ Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains ⋮ The weighted Kato square root problem of elliptic operators having a BMO anti-symmetric part ⋮ Conical square functions for degenerate elliptic operators ⋮ \(L^p\)-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on \(\mathbb{R}^n\) ⋮ Riesz transform characterizations of Hardy spaces associated to degenerate elliptic operators

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