@article { ISI:000079258700006,
	title = {The index of singular integral operators in reflexive Orlicz spaces},
	journal = {Mathematical Notes},
	volume = {64},
	number = {{3-4}},
	year = {1998},
	month = {{SEP-OCT}},
	pages = {330-341},
	publisher = {{PLENUM PUBL CORP}},
	type = {{Article}},
	address = {{CONSULTANTS BUREAU, 233 SPRING ST, NEW YORK, NY 10013 USA}},
	abstract = {<script src={\textquoteright}https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML{\textquoteright}></script><p>We consider the Banach algebra \(\mathfrak{A}\) of singular integral operators with matrix piecewise continuous coefficients in the reflexive Orlicz space \(L_M^n(\Gamma)\). We assume that \(\Gamma\) belongs to a certain wide subclass of the class of Carleson curves; this subclass includes curves with cusps, as well as curves of the logarithmic spiral type. We obtain an index formula for an arbitrary operator from the algebra \(\mathfrak{A}\) in terms of the symbol of this operator.</p>
},
	keywords = {Carleson curve, cusp, index formula, logarithmic spiral}, Singular integral operator, symbolic calculus, {reflexive Orlicz space},
	issn = {{0001-4346}},
	url = {http://link.springer.com/article/10.1007\%2FBF02314841},
	author = {Karlovich, Alexei Yu.}
}
