TY - JOUR
T1 - Interpolation of operators of weak type between rearrangement invariant function spaces
AU - Zippin, M.
PY - 1971/4
Y1 - 1971/4
N2 - Various types of theorems on interpolation of operators of weak type between Lp(0, ∞) spaces can be found in the literature. The more general problem of interpolation between rearrangement invariant spaces is discussed in the present paper. It is proved that if a rearrangement invariant function space X lies, in a certain sense, between the rearrangement invariant spaces X1 and X2, then every operator of weak type on Xi, i = 1, 2, is a bounded operator on X.
AB - Various types of theorems on interpolation of operators of weak type between Lp(0, ∞) spaces can be found in the literature. The more general problem of interpolation between rearrangement invariant spaces is discussed in the present paper. It is proved that if a rearrangement invariant function space X lies, in a certain sense, between the rearrangement invariant spaces X1 and X2, then every operator of weak type on Xi, i = 1, 2, is a bounded operator on X.
UR - http://www.scopus.com/inward/record.url?scp=0001319258&partnerID=8YFLogxK
U2 - 10.1016/0022-1236(71)90035-8
DO - 10.1016/0022-1236(71)90035-8
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AN - SCOPUS:0001319258
SN - 0022-1236
VL - 7
SP - 267
EP - 284
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 2
ER -