The O’Neil Inequality in Anisotropic Grand Lorentz Spaces


Tleukhanova N. Manarbek M.
June 2025Springer

Journal of Mathematical Sciences (United States)
2025#291Issue 2310 - 316 pp.

We obtain estimates for the norm of convolution operator in anisotropic grand Lorentz spaces. In these spaces, we prove O’Neil type inequalities and establish the boundedness of the logarithmic Riesz potential.



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Gumilyov Eurasian National University, 2, Satbaev St, Astana, 010000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, 125, Pushkin St, Almaty, 050010, Kazakhstan

Gumilyov Eurasian National University
Institute of Mathematics and Mathematical Modeling

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