TY - JOUR
T1 - Structural properties of Bilateral Grand Lebesque spaces
AU - Liflyand, E.
AU - Ostrovsky, E.
AU - Sirota, L.
PY - 2010/6
Y1 - 2010/6
N2 - 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.
AB - 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.
KW - Convolution operator
KW - Grand Lebesgue and rearrangement invariant spaces
KW - Sobolev embedding theorem
UR - http://www.scopus.com/inward/record.url?scp=77955567588&partnerID=8YFLogxK
U2 - 10.3906/mat-0812-8
DO - 10.3906/mat-0812-8
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SN - 1300-0098
VL - 34
SP - 207
EP - 220
JO - Turkish Journal of Mathematics
JF - Turkish Journal of Mathematics
IS - 2
ER -