Kolmogorov type inequalities for hypersingular integrals with sign-alternating characteristic

V.F. Babenko; D.A. Levchenko

doi:10.15421/241003

Kolmogorov type inequalities for hypersingular integrals with sign-alternating characteristic

V.F. Babenko (Oles Honchar Dnipropetrovsk National University), https://orcid.org/0000-0001-6677-1914
D.A. Levchenko (Oles Honchar Dnipropetrovsk National University)

Abstract

New sharp Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic of the form $$$\Omega(t) = \mathrm{sgn} \prod\limits_{k=1}^m t_k$$$ for multivariate functions from Hölder spaces are obtained.

Keywords

hypersingular integral; homogeneous characteristic; modulus of continuity

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References

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