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Weighted estimates for integral operators on local type spaces
Authors:Elida V Ferreyra  Guillermo J Flores
Institution:1. FaMAF, Universidad Nacional de Córdoba and CIEM (CONICET), Córdoba, Argentina;2. +54 3. 351 4. 433 5. 4051+54 6. 4054
Abstract:We prove the weighted boundedness for a family of integral operators urn:x-wiley:dummy:media:mana201400121:mana201400121-math-0003 on Lebesgue spaces and local urn:x-wiley:dummy:media:mana201400121:mana201400121-math-0004 type spaces. To this end we show that urn:x-wiley:dummy:media:mana201400121:mana201400121-math-0005 can be controlled by the Calderón operator and a local maximal operator. This approach allows us to characterize the power weighted boundedness on Lebesgue spaces.
Keywords:BMO spaces  weighted inequalities  integral operators  42B25  42B35  30H35
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