“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
Paper IPM / M / 16743 |
|
Abstract: | |
Let X be a metric space with a doubling measure and let L be a nonnegative selfadjoint operator in L2(X) which generates a semigroup e−t L whose kernels pt (x, y), t > 0, satisfy the Gaussian upper bound. Inspired by Fefferman's paper [2], in this note, we give sufficient conditions for which the square function gL,ψ,α* is unbounded
from Lp(X) to Lp(X) . As an application, we discuss the sharpness of the
exponent of aperture α in the [1, Theorem 1.6].
Download TeX format |
|
back to top |