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| SEMINARS |
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Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
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Morrey spaces and weakly weighted Lebesgue spaces E. A. Kalita |
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Abstract: We consider Morrey spaces as the intersection of Lebesgue spaces with Muckenhoupt weights. This immediately gives the boundedness of classical operators. Moreover, the norm of the operator in Morrey spaces and in dual Morrey spaces occurs ‘almost the same’ as the norm in Lebesgue spaces with the corresponding power weight. We will also consider a Muckenhoupt-type sufficient condition for weighted Morrey spaces and weighted dual Morrey spaces. |
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