EXTRAPOLATION IN SOME MIXED-NORMED FUNCTION SPACES

Abstract

Abstract. From the beginning of this century non-standard function spaces attracted a considerable attention of researchers. One of such spaces is variable exponent Lebesgue space (Nakano space) 𝐿𝑝(.); another one is grand Lebesgue space 𝐿𝑝0). The main reason to study these spaces was to solve a number of contemporary problems arising naturally in Applied Mathematics and PDEs (see, e.g., [1-5]). Mixed norm function spaces play an important role in Harmonic Analysis and PDEs (see, e.g. the survey by L. Huang and D. Yang (2019), papers by N. V. Krylov.