Title of article :
R-boundedness of the operator-valued functions in weighted Lp-spaces
Author/Authors :
Musaev, Hummet K. Baku State University, Baku, Azerbaijan
Abstract :
In the present paper, some properties of convolution-differential operator equations with unbounded
operator coefficients in Banach space-valued weighted Lp -spaces are investigated. In particular,
we study the R- positivity of the corresponding operators. Finally, R boundednsess and uniformly
boundedness of the family of operator-valued functions in weighted Lp spaces are established
Keywords :
convolution differential-operator equation , R - positivity , uniformly R - boundedness , operator-valued functions , weighted Lp spaces , weighted multiplier condition
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
