Littlewood-Paley Theory and Function Spaces withAlocp Weights

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Sharp embedding results for spaces of smooth functions with power weights (2011, background): “For the embeddings on the right-hand side this is different: For p ∈ (1,∞), let A p be the class of weights defined in [34], i.”
A note on wavelet bases in function spaces (2004, background): “The combination of Muckenhoupt weights and weights which even may grow exponentially has been given in [25].”
Atomic and molecular decompositions of anisotropic Besov spaces (2005, methodology): “This direction of research for Besov and Triebel-Lizorkin spaces was carried over by Bui, Paluszyński, and Taibleson [6,7,9,10] and by Rychkov [30,31].”
Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits (2010, methodology): “It is given in Rychkov [24] as well as [25] .”
Entropy and Approximation Numbers of Embeddings of Function Spaces with Muckenhoupt Weights, I (2008, background): “Rychkov extended in [33] the above class of weights in order to incorporate locally regular weights, creating in that way the class A p .”
ENTROPY AND APPROXIMATION NUMBERS OF EMBEDDINGS OF FUNCTION SPACES WITH MUCKENHOUPT WEIGHTS, II. GENERAL WEIGHTS (2011, background): “RYCHKOV extended in [31] the above class of weights in order to incorporate locally regular weights, too, creating in that way the class A`oc p .”