Characterization of Some Properties on Weighted Modulation Spaces

Abstract

In this paper, some properties on weighted modulation and Wiener amalgam spaces are characterized by the corresponding properties on weighted Lebesgue spaces. As applications, sharp conditions for product inequalities, convolution inequalities and embedding on weighted modulation and Wiener amalgam spaces are obtained. These applications improve and extend many known results.

References in corpus (1)

• Sharp Weighted Convolution Inequalities and Some Applications

Cited by in corpus (5)

• Superposition in Modulation Spaces with Ultradifferentiable Weights
• Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces
• Characterization of inclusion relations between wiener amalgam and some classical spaces
• Inclusion relations between Modulation and Triebel-Lizorkin spaces
• Multiplication and Composition in Weighted Modulation Spaces