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), …
The study of point distribution is a very important mathematics subject which involves Analysis, Probability, Number Theory and Combinatorics together. It also has significant applications …
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 …
In this thesis we study the relation between the boundedness of commutators of singular integrals and the function spaces of bounded mean oscillation (BMO) type …