Abstract:
We show the multilinear singular integral operators on Triebel-
Lizorkin and Lebesgue spaces and on Function spaces. We characterize
the new bases and variable with applications of Triebel-Lizorkin and
Besov spaces. We establish the Sobolev spaces on arbitrary metric
space, Lebesgue points and maximal functions. We consider an integral
and new characterizations of Hajlasz–Sobolev space on metric spaces
and fractals. We investigate the boundedness of a class of super and
rough singular integral operators and the associated certain
commutators on Triebel–Lizorkin spaces. We discuss the decompositions
and characterizations of Besov–Hausdorff and Hajlasz-Sobolev and
Triebel –Lizorkin–Hausdorff spaces and their applications with grand
Littlewood–Paley functions.
