Alternative boundedness characteristics for the Hardy--Steklov operator

E. P. Ushakova

Eurasian mathematical journal, Tome 8 (2017) no. 2, pp. 74-96.

Résumé

Using the notions of fairway functions we give the Tomaselli and Persson–Stepanov type forms of boundedness characterizations for the Hardy–Steklov operators in Lebesgue spaces. The results are alternatives to the Muckenhoupt and Mazya–Rosin type boundedness criteria.

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