TY - JOUR
T1 - Tent spaces over metric measure spaces under doubling and related assumptions
AU - Amenta, Alex
N1 - Publisher Copyright:
© 2014 Springer International Publishing Switzerland.
PY - 2014
Y1 - 2014
N2 - In this article, we define the Coifman-Meyer-Stein tent spaces Tp,q,α(X) associated with an arbitrary metric measure space (X, d,μ) under minimal geometric assumptions. While gradually strengthening our geo-metric assumptions, we prove duality, interpolation, and change of aperture theorems for the tent spaces. Because of the inherent technicalities in dealing with abstract metric measure spaces, most proofs are presented in full detail.
AB - In this article, we define the Coifman-Meyer-Stein tent spaces Tp,q,α(X) associated with an arbitrary metric measure space (X, d,μ) under minimal geometric assumptions. While gradually strengthening our geo-metric assumptions, we prove duality, interpolation, and change of aperture theorems for the tent spaces. Because of the inherent technicalities in dealing with abstract metric measure spaces, most proofs are presented in full detail.
KW - Change of aperture
KW - Complex interpolation
KW - Duality
KW - Hardy-littlewood maximal operator
KW - Volume doubling
UR - http://www.scopus.com/inward/record.url?scp=84958983829&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-06266-2_1
DO - 10.1007/978-3-319-06266-2_1
M3 - Article
AN - SCOPUS:84958983829
SN - 0255-0156
VL - 240
SP - 1
EP - 29
JO - Operator Theory: Advances and Applications
JF - Operator Theory: Advances and Applications
ER -