Durvudkhan Suragan

most citedHardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces

1 citations · 1 across the 2 of their papers we have counts for

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math.FA2017★ 1 cited

Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces

Michael Ruzhansky, Durvudkhan Suragan, Nurgissa Yessirkegenov

We analyse Morrey spaces, generalised Morrey spaces and Campanato spaces on homogeneous groups. The boundedness of the Hardy-Littlewood maximal operator, Bessel-Riesz operators, ge…

math.FA2016

Anisotropic $L^{2}$ -weighted Hardy and $L^{2}$ -Caffarelli-Kohn-Nirenberg inequalities

Michael Ruzhansky, Durvudkhan Suragan

We establish sharp remainder terms of the $L^{2}$ -Caffarelli-Kohn-Niren\-berg inequalities on homogeneous groups, yielding the inequalities with best constants. Our methods also gi…

Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces

Anisotropic L2-weighted Hardy and L2-Caffarelli-Kohn-Nirenberg inequalities

Anisotropic $L^{2}$ -weighted Hardy and $L^{2}$ -Caffarelli-Kohn-Nirenberg inequalities