Embeddings between weighted Tandori and Cesàro function spaces
Pages : 837-848
View : 11 | Download : 9
Publication Date : 2021-12-31
Article Type : Research Paper
Abstract :We characterize the weights for which the two-operator inequality ∥ ∥ ∥ insert ignore into journalissuearticles values( ∫ x 0 f insert ignore into journalissuearticles values( t ); p v insert ignore into journalissuearticles values( t ); p d t ); 1 p ∥ ∥ ∥ q , u , insert ignore into journalissuearticles values( 0 , ∞ ); ≤ c ∥ ∥ ∥ e s s sup t ∈ insert ignore into journalissuearticles values( x , ∞ ); f insert ignore into journalissuearticles values( t ); ∥ ∥ ∥ r , w , insert ignore into journalissuearticles values( 0 , ∞ ); ‖insert ignore into journalissuearticles values(∫0xfinsert ignore into journalissuearticles values(t);pvinsert ignore into journalissuearticles values(t);pdt);1p‖q,uinsert ignore into journalissuearticles values(0,∞);≤c‖esssupt∈insert ignore into journalissuearticles values(x,∞);finsert ignore into journalissuearticles values(t);‖r,winsert ignore into journalissuearticles values(0,∞); holds for all non-negative measurable functions on insert ignore into journalissuearticles values( 0 , ∞ ); insert ignore into journalissuearticles values(0,∞); , where 0 < p < q ≤ ∞ 0
Keywords : Cesàro function spaces, Copson function spaces, Tandori function spaces, embeddings, weighted inequalities, Hardy operator, Copson operator, iterated operators
