TY - JOUR
T1 - A Note about Young's Inequality with Different Measures
AU - Mehmood, Saba
AU - Eridani, Eridani
AU - Fatmawati, Fatmawati
N1 - Publisher Copyright:
© 2022 Saba Mehmood et al.
PY - 2022
Y1 - 2022
N2 - The key purpose of this paper is to work on the boundedness of generalized Bessel-Riesz operators defined with doubling measures in Lebesgue spaces with different measures. Relating Bessel decaying the kernel of the operators is satisfying some elementary properties. Doubling measure, Young's inequality, and Minköwski's inequality will be used in proofs of boundedness of integral operators. In addition, we also explore the relation between the parameters of the kernel and generalized integral operators and see the norm of these generalized operators which will also be bounded by the norm of their kernel with different measures.
AB - The key purpose of this paper is to work on the boundedness of generalized Bessel-Riesz operators defined with doubling measures in Lebesgue spaces with different measures. Relating Bessel decaying the kernel of the operators is satisfying some elementary properties. Doubling measure, Young's inequality, and Minköwski's inequality will be used in proofs of boundedness of integral operators. In addition, we also explore the relation between the parameters of the kernel and generalized integral operators and see the norm of these generalized operators which will also be bounded by the norm of their kernel with different measures.
UR - http://www.scopus.com/inward/record.url?scp=85135111993&partnerID=8YFLogxK
U2 - 10.1155/2022/4672957
DO - 10.1155/2022/4672957
M3 - Article
AN - SCOPUS:85135111993
SN - 0161-1712
VL - 2022
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
M1 - 4672957
ER -