2 papers
cs.IT2018
On the Design of Multi-Dimensional Compactly Supported Parseval Framelets with Directional Characteristics
Nikolaos Atreas, Nikolaos Karantzas, Manos Papadakis +1
In this paper, we propose a new method for the construction of multi-dimensional, wavelet-like families of affine frames, commonly referred to as framelets, with specific direction…
math.FA2018
A refinement of a Hardy type inequality for negative exponents, and sharp applications to Muckenhoupt weights on R
Eleftherios N. Nikolidakis, Theodoros Stavropoulos
We prove a sharp integral inequality that generalizes the well known Hardy type integral inequality for negative exponents. We also give sharp applications in two directions for Mu…