Convergence in nonisotropic regions of harmonic functions in $\mathbb B^n$
Volume 134 / 1999
Studia Mathematica 134 (1999), 269-298
DOI: 10.4064/sm-134-3-269-298
Abstract
We study the boundedness in $L^p(\mathbb S^n)$ of the projections onto spaces of functions with spectrum contained in horizontal strips. We obtain some results concerning convergence along nonisotropic regions of harmonic extensions of functions in $L^p(\mathbb S^n)$ with spectrum included in these horizontal strips.
