Grand Variable Hajłasz–Sobolev and Hölder Spaces
摘要
In this chapter we introduce new scales of grand variable exponent Hajłasz–Sobolev spaces (GV EHSSs briefly) and grand variable parameter Hölder spaces (GV PHS briefly). GV EHSSs are defined on the base of variable exponent Lebesgue spaces (V ELSs briefly) or variable exponent Morrey spaces (V EMSs briefly). Embeddings between the mentioned spaces are established under the log-Hölder continuity condition on exponent functions of spaces.