Weighted norm estimates for the Semyanistyi fractional integrals and Radon transformsReport as inadecuate



 Weighted norm estimates for the Semyanistyi fractional integrals and Radon transforms


Weighted norm estimates for the Semyanistyi fractional integrals and Radon transforms - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Weighted norm estimates for the Semyanistyi fractional integrals and Radon transforms
Semyanistyis fractional integrals have come to analysis from integral geometry. They take functions on $R^n$ to functions on hyperplanes, commute with rotations, and have a nice behavior with respect to dilations. We obtain sharp inequalities for these integrals and the corresponding Radon transforms acting on $L^p$ spaces with a radial power weight. The operator norms are explicitly evaluated. Similar results are obtained for fractional integrals associated to $k$-plane transforms for any $1\le k



Author: Boris Rubin

Source: https://archive.org/







Related documents