In this thesis we study the $L^p$ Dirichlet problem for second order divergence-form operators having a BMO antisymmetric part. To be precise, for the divergence-form …
Harmonic analysis is an artform of understanding how mathematical objects behave. In this thesis, we develop a framework for understanding Calder\'on-Zygmund Singular Integral Operators (CZOs), …
This thesis consists of two independent parts:Chapter 1, Geometric-arithmetic averaging of dyadic weights. 'Geometric-arithmetic averaging' is an averaging process which constructs Muckenhoupt weights from dyadic …