Criteria for boundedness of a class of integral operators from L_p to L_q for 1

2023/07/12 by Oinarov, R., Temirkhanova, A., Kalybay, A.
#26D10 #26D15 #47B34 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2307.06107

Abstract

In the paper, we consider integral operators with non-negative kernels satisfying conditions, which are less restrictive than conditions studied earlier. We establish criteria for the boundedness of these operators in Lebesgue spaces.

Related

• On Integral Operators with Operator Valued Kernels
• Integral operators induced by the Fock kernel
• A local-to-global boundedness argument and Fourier integral operators
• A remark on certain integral operators of fractional type
• Criteria for the Boundedness of Potential Operators in Grand Lebesgue Spaces