On the commutator of Marcinkiewicz integrals with rough kernels in variable Morrey type spaces

Rough Marcinkiewicz Integrals On Product Spaces

In this paper, we establish an Lp boundedness result of a class of Marcinkiewicz integral operators on product domains with rough kernels.

Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces

Let [Formula: see text] satisfy that [Formula: see text], for any given [Formula: see text], is an Orlicz function and [Formula: see text] is a Muckenhoupt [Formula: see text] weight uniformly in [Formula: see text]. The Musielak-Orlicz Hardy space [Formula: see text] is defined to be the set of all tempered distributions such that their grand maximal functions belong to the Musielak-Orlicz spa...

Bmo Estimates on Vanishing Generalized Morrey Spaces for Commutators of Marcinkiewicz Integrals with Rough Kernel Associated with Schrödinger Operator

Let L = −∆ + V (x) be a Schrödinger operator, where ∆ is the Laplacian on R, while nonnegative potential V (x) belonging to the reverse Hölder class. We establish the boundedness of the commutators of Marcinkiewicz integrals with rough kernel associated with schrödinger operator on vanishing generalized Morrey spaces.

Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels

Boundedness of Marcinkiewicz Integrals with Rough Kernel on the Herz-Type Spaces

In this note, it is proved that the Marcinkiewicz integral with rough kernel defined by