Sobolev space projections in strictly pseudoconvex domains Academic Article uri icon

abstract

  • The orthogonal projection from a Sobolev space W s ( ) {W^s}(Omega ) onto the subspace of holomorphic functions is studied. This analogue of the Bergman projection is shown to satisfy regularity estimates in higher Sobolev norms when Omega is a smooth bounded strictly pseudoconvex domain in C n {{mathbf {C}}^n} .

published proceedings

  • Transactions of the American Mathematical Society

author list (cited authors)

  • Boas, H. P.

citation count

  • 8

complete list of authors

  • Boas, Harold P

publication date

  • January 1985