Hankel operators with unbounded symbols

Invertibility of matrix Wiener-Hopf plus Hankel operators with APW Fourier symbols

Operators of Wiener-Hopf plus Hankel type have been receiving an increasing attention in the last years (see [1, 2, 4, 6, 10, 12–16]). Some of the interest in their study arises directly from concrete applications where these kind of operators appear. This is the case in problems of wave diffraction by some particular rectangular geometries which originate specific boundary-transmission value p...

Wiener-hopf plus Hankel Operators on the Real Line with Unitary and Sectorial Symbols

Wiener-Hopf plus Hankel operators acting between Lebesgue spaces on the real line are studied in view of their invertibility, one sided-invertibility, Fredholm property, and the so-called n and d–normal properties. This is done in two different cases: (i) when the Fourier symbols of the operators are unitary functions, and (ii) when the Fourier symbols are related with sectorial elements appear...

Pseudodifferential operators with homogeneous symbols

We prove boundedness of pseudodifferential operators with symbols satisfying the conditions |∂ ξ ∂ xa(x, ξ)| ≤ Cβ,γ |ξ|m−|β|+|γ| on homogeneous Besov-Lipschitz and Triebel-Lizorkin spaces

Pseudodifferential Operators with Rough Symbols

In this work, we develop L boundedness theory for pseudodifferential operators with rough (not even continuous in general) symbols in the x variable. Moreover, the B(L) operator norms are estimated explicitly in terms of scale invariant quantities involving the symbols. All the estimates are shown to be sharp with respect to the required smoothness in the ξ variable. As a corollary, we obtain L...

Toeplitz operators with special symbols