Representation of Projection Operators on Fractal Measures in Weighted Modulation Spaces

Deepak Kartikey, Dr. S. S. Pandey

Abstract: Using a general wavelet system, we obtain upper bound estimate for a projection operator associated with fractal measures in a suitable weighted modulation space over. Also a corollary, we derive the corresponding estimate in the Banach space of Feichtinger distributions.

Keywords: Fractal measures, Wavelet Representation, Modulation spaces, Feichtinger algebra and Banach space of Feichtinger distributions