Estimates for the multiplicative square function of solutions to nondivergence elliptic equations

DOI10.1155/2007/92354zbMath1157.35346OpenAlexW2023849585MaRDI QIDQ2472064

Jorge Rivera-Noriega

Publication date: 20 February 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55163

zbMATH Keywords

distributional inequalitiesnondivergence elliptic equationsmultiplicative square functionstar-like Lipschitz domain

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Abstract harmonic analysis (43A99)

Cites Work

• Unnamed Item
• Positive solutions of elliptic equations in nondivergence form and their adjoints
• Area integral estimates for elliptic differential operators with non- smooth coefficients
• \(L^p\) regularity of the Dirichlet problem for elliptic equations with singular drift
• Fatou theorems for some nonlinear elliptic equations
• Probabilistic behavior of harmonic functions
• Area integral estimates for solutions and normalized adjoint solutions to nondivergence form elliptic equations
• Weak type-\((1,1)\) inequalities and regularity properties of adjoint and normalized adjoint solutions to linear nondivergence form operators with VMO coefficients
• Multiplicative square functions
• Square area integral estimates for subharmonic functions in NTA domains
• Bounds for the fundamental solutions of elliptic and parabolic equations
• The 𝐿^{𝑝} Dirichlet problem and nondivergence harmonic measure

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