Papers in Refereed Journals:
1996:
A. Karlovich, Algebras of singular integral operators with piecewise
continuous coefficients on reflexive Orlicz spaces,
Mathematische Nachrichten,
179 (1996) 187 - 222.
A. Karlovich, Singular integral operators with piecewise continuous
coefficients on reflexive Orlicz spaces, Dokl. Akad. Nauk Rossii 349
(1996), no. 1, 10-12 (in Russian). English translation:
Doklady Mathematics,
54 (1996), no. 1, 490 - 492.
1997:
A. Karlovich, Singular integral operators with regulated coefficients
on reflexive Orlicz spaces, Sibirskiy Matematicheskiy
Zhurnal, 38 (1997), no. 2, 297 - 311 (in Russian). English translation:
Siberian Math. J.,
38 (1997), no. 2, 253 - 266.
1998:
A. Karlovich, On the index of singular integral operators in reflexive
Orlicz spaces, Matem. Zametki 64 (1998), no. 3, 383 - 396 (in Russian).
English translation: Mathematical
Notes, 64 (1998), no. 3, 330 - 341.
A. Karlovich, Singular integral operators with piecewise continuous
coefficients in reflexive rearrangement-invariant spaces,
Integral Equations and Operator Theory, 32 (1998), no. 4, 436 - 481.
2000:
A. Karlovich, On the essential norm of the Cauchy singular integral
operator in weighted rearrangement-invariant spaces,
Integral Equations and Operator Theory, 38 (2000), no. 1, 28 - 50.
2001:
A. Karlovich and L. Maligranda,
On the interpolation constant for Orlicz spaces,
Proceedings of the American Mathematical Society,
129 (2001), no. 9, 2727-2739.
Local preliminary version:
A. Karlovich,
Criteria for one-sided invertibility of a functional
operator in rearrangement-invariant spaces of fundamental type,
Mathematische Nachrichten,
229 (2001) 91 - 118.
Local preliminary version:
2002:
A. Karlovich and Yu. Karlovich,
One-sided invertibility of binomial functional operators with a shift on rearrangement-invariant
spaces, Integral
Equations and Operator Theory, 42 (2002), no. 2, 201 - 228.
A. Karlovich, Algebras of singular integral operators with PC coefficients
in rearrangement-invariant spaces with Muckenhoupt weights,
Journal of Operator Theory, 47
(2002), 303 - 323.
A. Karlovich,
Algebras of singular integral operators on rearrangement-invariant
spaces and Nikolski ideals,
New York Journal of Mathematics, 8 (2002), 215 - 234.
Local preliminary version:
2003:
A. Karlovich, Fredholmness of singular integral operators with
piecewise continuous coefficients on weighted Banach function spaces,
Journal of Integral Equations and Applications, 15 (2003), no. 3, 263 - 320.
2004:
A. Karlovich, Norms of Toeplitz and Hankel operators on Hardy type
subspaces of rearrangement-invariant spaces,
Integral Equations and Operator Theory, 49 (2004), no. 1, 43 - 64.