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Embeddings for monotone functions and Bp weights, between discrete and continuous

Embeddings for monotone functions and Bp weights, between discrete and continuous
 
Garcia Domingo, Josep Lluís
2005

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Abstract

We characterize the embedding for general weighted Lebesgue spaces of monotone functions by using the analog embedding for discrete monotone sequences indexed over the integers. We then use these results to obtain the boundedness of the discrete Hardy operator and to study the connections with the Hardy classical operator in ...»»»»
We characterize the embedding for general weighted Lebesgue spaces of monotone functions by using the analog embedding for discrete monotone sequences indexed over the integers. We then use these results to obtain the boundedness of the discrete Hardy operator and to study the connections with the Hardy classical operator in the continuous setting.^^^^

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(c) Mathematica Scandinavica
 
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Citation:

Garcia Domingo, Josep Lluis. "Embeddings for Monotone Functions and B-p Weights, between Discrete and Continuous." Mathematica Scandinavica 97.2 (2005): 281-97.