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Grand Lebesgue-Type Spaces

  • Vakhtang Kokilashvili,
  • Alexander Meskhi,
  • Humberto Rafeiro,
  • Stefan Samko

摘要

In this chapter, we consider grand Lebesgue spaces on sets of infinite measure and study the dependence of these spaces on the choice of the so-called aggrandizers. We also consider Mikhlin and Marcinkiewicz theorems on Fourier multipliers in the setting of grand spaces.