Elements of Real Analysis

This chapter is devoted to the precise definitions and statements of realVMO analyticVanishing mean oscillation (VMO) tools such asBMO bounded mean oscillationBounded mean oscillation (BMO) (BMO) and vanishing mean oscillation (VMO) functions, the Calderón–Zygmund decomposition (Theorem 4.9), the John–Nirenberg inequality (Theorem 4.13), the Hardy–Littlewood maximal function (Theorem 4.6), sharp functions (Theorem 4.19) and spherical harmonics (Theorem 4.41).