We introduce and investigate classes of (p,q)-starlike harmonic univalent functions defined by subordination. first obtained a coefficient characterization these functions. give necessary sufficient convolution conditions, distortion bounds, compactness extreme points for the with negative coefficients.

We prove a global version of the classical result that p-harmonic functions belong to Wloc2,2 for 1<p<3+2n−2. The proof relies on Cordes' matrix inequalities [7] and techniques from work Cianchi Maz'ya [5], [6].