Muckenhoupt inequality with three measures and applications to Sobolev orthogonal polynomials Articles uri icon

publication date

  • November 2013

start page

  • 369

end page

  • 386

volume

  • 407

international standard serial number (ISSN)

  • 0022-247X

electronic international standard serial number (EISSN)

  • 1096-0813

abstract

  • We generalize the Muckenhoupt inequality with two measures to three under certain conditions. As a consequence, we prove a very simple characterization of the boundedness of the multiplication operator and thus of the boundedness of the zeros and the asymptotic behavior of the Sobolev orthogonal polynomials, for a large class of measures which includes the most usual examples in the literature. (C) 2013 Elsevier Inc. All rights reserved.