@inbook {7480,
	title = {Singular integral operators on variable Lebesgue spaces with radial oscillating weights},
	booktitle = {Operator Algebras, Operator Theory and Applications.Operator Theory Advances and Applications, 195 },
	year = {2010},
	pages = {185-212},
	publisher = {Birkh{\"a}user},
	organization = {Birkh{\"a}user},
	address = {Basel},
	abstract = {<p>We prove a Fredholm criterion for operators in the Banach algebra of singular integral operators with matrix piecewise continuous coefficients acting on a variable Lebesgue space with a radial oscillating weight over a logarithmic Carleson curve. The local spectra of these operators are massive and have a shape of spiralic horns depending on the value of the variable exponent, the spirality indices of the curve, and the Matuszewska-Orlicz indices of the weight at each point. These results extend (partially) the results of A. B{\"o}ttcher, Yu. Karlovich, and V. Rabinovich for standard Lebesgue spaces to the case of variable Lebesgue spaces.</p>
},
	url = {http://www.springerlink.com/content/hxh8002466k66236/},
	author = {Karlovich, Alexei Yu.},
	editor = {Grobler, JJ and Labuschagne, LE and M{\"o}ller, M}
}
