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We prove that well posedness, that is, maximal regularity of (1.2) in vector-valued spaces, is characterized on Banach spaces having the unconditional martingale difference property ( see, e.g., [4]) by the -boundedness of the set (1.3).
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The resulting abstract spaces (such as metric spaces, topological spaces, and vector spaces) are characterized by their particular elements, axioms, and relationships.
Tranquil spaces are characterized by a soundscape dominated by natural sounds and low levels of man-made noise.
In this study, inter-connected 3D array of void spaces was characterized by geometrical quantities such as specific surface area, pore throat size and nodal pore volume.
The transformed agrarian spaces are characterized by a mosaic of scenarios from persistence and sustainable subsistence to differentiation and exploitative commercial practices to abandonment and speculation.
Diversity in both open spaces are characterized by the combination of richness in natural landscape elements, spaces, distribution of activity patterns, visual stimulants, strong historical, cultural and social significances.
Moreover, most of the familiar distribution spaces (Lp-spaces, 1 < p < +∞, Hp spaces, 0 < p ⩽ 1, Sobolev and potential spaces, BMO, Besov and Triebel-Lizorkin spaces) are characterized by the magnitude of the ϑ-transform.
The underground spaces are characterized by a particular thermal behavior, because of the continuous and huge thermal exchange they have with the outside, via the openings and the ground surrounding the majority of the building.
Let us recall that such hyperconvex spaces were characterized by Kirk (see [5]) as complete -trees (see Theorem 2.15).
The boundedness and compactness of the weighted composition followed andproceeded by differentiation operators from Zygmund spaces to Bloch-type spacesand little Bloch-type spaces are characterized.
The boundedness and compactness of composition operators from Zygmund and little Zygmund spaces into Q K and Q K, 0 spaces are characterized in this paper.
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