Volume no :16, Issue no: 1-2, July and August 2012

Journal of Mathematical Sciences: Advances and Applications

THE AREA INTEGRAL ASSOCIATED TO SELF-ADJOINT OPERATORS ON WEIGHTED MORREY SPACES

Author's: RUMING GONG
Pages: [47] - [59]
Received Date: June 4, 2012
Submitted by:

Abstract

This paper is concerned with some norm inequalities for the area integrals associated to a non-negative self-adjoint operator satisfying a pointwise Gaussian estimate for its heat kernel, on weighted Morrey spaces.

Keywords

area integral, self-adjoint operators, heat kernel, semigroup, Morrey spaces.