$$L^p$$ Regularity Estimates for a Class of Integral Operators with Fold Blowdown Singularities

Fourier Integral Operators with Fold Singularities

We shall be concerned with Lα → Lqβ mapping properties of operators in I(X,Y ; C′) (here Lqβ denotes the L q Sobolev space). These are well known in case that C is locally the graph of a canonical transformation; this means that the projections πL : C → T X, πR : C → T Y are locally diffeomorphisms. In particular dX = dY := d. Then F ∈ I(X,Y, C′) maps Lα,comp(Y ) into Lβ,loc(X) if β ≤ α−μ. This...

Damping Estimates for Oscillatory Integral Operators with Finite Type Singularities

We derive damping estimates and asymptotics of L operator norms for oscillatory integral operators with finite type singularities. The methods are based on incorporating finite type conditions into L almost orthogonality technique of Cotlar-Stein.

Damping Estimates for Oscillatory Integral Operators with Finite Type Singularities

Lp Estimates for Marcinkiewicz integral operators and extrapolation

*Correspondence: [email protected] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan Abstract In this article, we establish Lp estimates for parametric Marcinkiewicz integral operators with rough kernels. These estimates and extrapolation arguments improve and extend some known results on Marcinkiewicz integrals. MSC: Primary 40B20; secondary 4...

Sandwich-type theorems for a class of integral operators with special properties

In the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.