Open AccessAlternative criteria for boundedness of one class of integral operators in Lebesgue spaces
Author(s) -
Aigerim Kalybay
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2114825k
Subject(s) - mathematics , class (philosophy) , type (biology) , lp space , lebesgue integration , pure mathematics , inequality , daniell integral , singular integral operators , calculus (dental) , mathematical analysis , operator theory , fourier integral operator , banach space , epistemology , ecology , biology , medicine , philosophy , dentistry
The paper discusses weighted Hardy type inequalities for a certain class of Volterra type integral operators with kernels. Criteria for the validity of the presented inequalities are found, which are different from the criteria obtained earlier.