Parabolic Wavelet Transforms and Lebesgue Spaces of Parabolic Potentials
Parabolic Wavelet Transforms and Lebesgue Spaces of Parabolic Potentials
Parabolic wavelet transforms associated with heat operators -D x + ∂/∂t and I -D x + ∂/∂ t in R n+1 are introduced.A Calderón-type reproducing formula for functions f ∈ L p (R n+1 ) is proven.By making use of these transforms, new explicit inversion formulas for the Jones-Sampson parabolic …