Mathematics
Harmonic Analysis : We study the discrete version of a class of operators such as Hardy-Littlewood maximal operator, Singular Integral operators on variable Lebesgue spaces and their ergodic version. We use the methodologies Calderon-Zygmund decomposition, Calderon - Coifman - Weiss transference principle and Interpolation theorem which are valid in variable Lebesgue spaces also.
Graph Theory : We study the problem of Domination on Graphs. Our main focus is to address the NP completeness of th