Abstract In this work, we consider smooth unbounded worm domains $${\mathcal {Z}}_\lambda $$ Z λ in $${\mathbb {C}}^2$$ C 2 and show that the Bergman projection, densely defined on Sobolev s...

Abstract Using the spectral theory on S -spectrum it is possible to define fractional powers of a large class vector operators. This possibility leads new diffusion and evolution problems that are particular interest for nonhomogeneous materials where Fourier law not simply negative gradient operator but nonconstant coefficients differential form $$\begin{aligned} T=\sum _{\ell =1}^3e_\ell a_\e...