E. LIFLYAND, E. OSTROVSKY, L. SIROTA

2117

Structural properties of Bilateral Grand Lebesque Spaces

In this paper we study the multiplicative, tensor, Sobolev and convolution inequalities in certain Banach spaces, the so-called Bilateral Grand Lebesque Spaces. We also give examples to show the sharpness of these inequalities when possible.
Anahtar Kelimeler:

Grand Lebesgue and rearrangement invariant spaces, Sobolev embedding theorem, convolution operator.

Structural properties of Bilateral Grand Lebesque Spaces

In this paper we study the multiplicative, tensor, Sobolev and convolution inequalities in certain Banach spaces, the so-called Bilateral Grand Lebesque Spaces. We also give examples to show the sharpness of these inequalities when possible.
Keywords:

Grand Lebesgue and rearrangement invariant spaces, Sobolev embedding theorem, convolution operator.,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: TÜBİTAK
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