On L P Estimates for the Laplacian on a Class of Symmetric Spaces of Noncompact Type

نویسنده

  • Michael Ruzhansky
چکیده

The domination properties of the Laplace operator on a class of symmetric spaces of noncom-pact type are investigated. Using algebraic methods we will show that derivatives of a function can be uniformly estimated by function and its Laplacian in L p spaces for all 1 p 1. We will also discuss some relative aspects of the theory of convolutions.

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تاریخ انتشار 2007