On 2-microlocal spaces with all exponents variable

Abstract

In this paper we study various key properties for $2$-microlocal Besov and Triebel--Lizorkin spaces with all exponents variable, including the lifting property, embeddings and Fourier multipliers. We also clarify and improve some statements recently published.

24 pages

References in corpus (1)

• Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications

Cited by in corpus (4)

• Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications
• Variable exponent Besov-Morrey spaces
• Variable exponent Triebel-Lizorkin-Morrey spaces
• Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces