Connectedness of Spectra of Toeplitz Operators on Hardy Spaces with Muckenhoupt Weights Over Carleson Curves

Maximal operators on variable Lebesgue s

Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves

✍ Alexei Yu. Karlovich 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB 👁 1 views

## Abstract We prove sufficient conditions for the boundedness of the maximal operator on variable Lebesgue spaces with weights __φ~t,γ~__ (__τ__) = |(__τ__ – __t__)^__γ__^ |, where __γ__ is a complex number, over arbitrary Carleson curves. If the curve has different spirality indices at the point