Marcinkiewicz integral operators constitute a central class of singular integral operators in modern harmonic analysis. These operators, defined through oscillatory integrals with rough kernels, play ...

Harmonic analysis is a broad field central to understanding the representation of functions through basic waves and their associated transformations, with profound connections to Fourier analysis, ...

We study the boundedness of integral operators whose kernels are functions of operators Vf(x) := f(x) + ∫ k(x, t, L)f(t) dμ(t), where k(x, t, λ) is an entire function of λ and L is an unbounded ...

This is a preview. Log in through your library . Abstract Coercivity is an important concept for proving existence and uniqueness of solutions to variational problems in Hilbert spaces. But while ...

This paper demonstrates applications of automatic differentiation with nested dual numbers in the diffusion operator integral variance-reduction framework originally proposed by Heath and Platen.