In this paper, the multiple parametric Marcinkiewicz integral operators with mixed
homogeneity along surfaces are studied. The L p-mapping properties for such operators are …

In this article, the boundedness of the generalized parametric Marcinkiewicz integral
operators M Ω, ϕ, h, ρ (r) is considered. Under the condition that Ω is a function in L q (S n …

In this paper, appropriate L p bounds for particular classes of parabolic Marcinkiewicz
integrals along surfaces of revolution on product spaces are obtained. These bounds allow …

In this article, we study the generalized parabolic parametric Marcinkiewicz integral
operators ℳ Ω, h, Φ, λ (r) related to polynomial compound curves. Under some weak …

We prove L p estimates of a class of generalized Marcinkiewicz integral operators with
mixed homogeneity on product domains. By using these estimates along with an …

In this work, the generalized parametric Marcinkiewicz integral operators with mixed
homogeneity related to surfaces of revolution are studied. Under some weak conditions on …

1. Introduction and statment of results Throughout this article, let Rn, n≥ 2, be the n-
dimensional Euclidean space and Sn− 1 be the unit sphere in Rn equipped with the …