Alternative criteria for boundedness of one class of integral operators in Lebesgue spaces | Zendy

Aigerim Kalybay | Zendy

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Alternative 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.

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