The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation

DOI10.1070/SM8980zbMath1402.35100OpenAlexW2769545577MaRDI QIDQ4581452

A. K. Gushchin

Publication date: 20 August 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8980

zbMATH Keywords

Dirichlet problemelliptic equationnontangential maximal functionLuzin area integral

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25)

Related Items (5)

On Dirichlet problem ⋮ Extensions of the space of continuous functions and embedding theorems ⋮ A criterion for the existence of \(L_p\) boundary values of solutions to an elliptic equation ⋮ The boundary values of solutions of an elliptic equation ⋮ On the existence of \(L_2\) boundary values of solutions to an elliptic equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On solvability of the Dirichlet problem with the boundary function in \(L_2\) for a second-order elliptic equation
• V. A. Steklov's work on equations of mathematical physics and development of his results in this field
• \(L_p\)-estimates for solutions of second-order elliptic equation Dirichlet problem
• Solvability of the Dirichlet problem for a second-order elliptic equation with a boundary function from \(L_{p}\)
• Lorentz invariant vacuum solutions in general relativity
• On the univalent solvability of nonlocal problems for an elliptic equation
• Estimates of the nontangential maximal function for solutions of a second-order elliptic equation
• Solvability of the Dirichlet problem for second-order elliptic equations
• Cosmological models with homogeneous and isotropic spatial sections
• Interpolations by bounded analytic functions and the corona problem
• Existence and qualitative properties of a solution of the first mixed problem for a parabolic equation with non-power-law double nonlinearity
• The Dirichlet problem for a second-order elliptic equation with anL_pboundary function
• $L_p$-estimates for the nontangential maximal function of the solution to a second-order elliptic equation
• Solvability of the Dirichlet problem for a general second-order elliptic equation
• An Interpolation Problem for Bounded Analytic Functions
• Continuity of Solutions of Parabolic and Elliptic Equations
• Existence of solutions of anisotropic elliptic equations with nonpolynomial nonlinearities in unbounded domains
• Solvability of the Dirichlet problem for an inhomogeneous second-order elliptic equation
• ON THE BEST HÖLDER EXPONENTS FOR GENERALIZED SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION
• Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain
• ON BOUNDARY PROPERTIES OF SOLUTIONS OF ELLIPTIC EQUATIONS IN MULTIDIMENSIONAL DOMAINS REPRESENTABLE BY MEANS OF THE DIFFERENCE OF CONVEX FUNCTIONS
• ON THE DIRICHLET PROBLEM FOR A SECOND-ORDER ELLIPTIC EQUATION
• ON THE DEGREE OF RATIONAL APPROXIMATION OF MEROMORPHIC FUNCTIONS
• On the continuity of the solutions of a class of non-local problems for an elliptic equation
• Lp Estimates for (Pluri-) Subharmonic Functions.
• Distribution function inequalities for the area integral

This page was built for publication: The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation