Oleksiy Karlovych

CMA Research Group - Analysis, Integrated member (PhD)

  • 103 Citations
  • 6 h-Index
20092019
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Singular Integral Operator Mathematics
Rearrangement Invariant Spaces Mathematics
Banach Function Space Mathematics
Reflexive Space Mathematics
Lebesgue Space Mathematics
Fredholmness Mathematics
Piecewise continuous Mathematics
Boyd Indices Mathematics

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Research Output at NOVA 2009 2019

Hardy-Littlewood maximal operator on the associate space of a Banach function space

Karlovich, A. Y., 1 Jan 2019, In : Real Analysis Exchange. 44, 1, p. 119-140 22 p.

Research output: Contribution to journalArticle

Open Access
File
Space of Homogeneous Type
Banach Function Space
Maximal Operator
Boundedness
Euclidean
1 Citation (Scopus)

Criteria for n(d)-normality of weighted singular integral operators with shifts and slowly oscillating data

Karloviych, A. Y., Karlovich, Y. I. & Lebre, A. B., 1 Apr 2018, In : Proceedings of the London Mathematical Society. 116, 4, p. 997-1027 31 p.

Research output: Contribution to journalArticle

Singular Integral Operator
Normality
Lp Spaces
Operator
Wiener Algebra
1 Citation (Scopus)

More on the density of analytic polynomials in abstract Hardy spaces

Karlovich, A. & Shargorodsky, E., 1 Jan 2018, Operator Theory: Advances and Applications. Springer International Publishing, p. 319-329 11 p. (Operator Theory: Advances and Applications; vol. 268).

Research output: Chapter in Book/Report/Conference proceedingChapter

Hardy Space
Banach Function Space
Polynomial
Maximal Operator
Unit circle

Operator Theory, Operator Algebras, and Matrix Theory

André, C., Bastos, M. A., Karlovich, AY., Silbermann, B. & Zaballa, I., 2018, Birkhäuser Basel. (Operator Theory: Advances and Applications; vol. 267)

Research output: Book/ReportBook

Operator Matrix
Operator Theory
Matrix Theory
Operator Algebras
Algebra

Semi-Fredholmness of Weighted Singular Integral Operators with Shifts and Slowly Oscillating Data

Karlovich, A. Y., Karlovich, Y. I. & Lebre, A. B., 2018, Operator Theory: Advances and Applications. Springer International Publishing, Vol. 267. p. 221-246 26 p. (Operator Theory: Advances and Applications; vol. 267).

Research output: Chapter in Book/Report/Conference proceedingChapter

Fredholmness
Singular Integral Operator
Wiener Algebra
Cauchy Integral
Shift Operator