Sharp constants between equivalent norms in weighted Lorentz spaces

Sorina Barza, Javier Soria

Abstract


For an increasing weight $w$ in $B_p$ (or equivalently in $A_p$), we find the best constants for the inequalities relating the standard norm in the weighted Lorentz space $\Lambda^p(w)$ and the dual norm.

doi:10.1017/S1446788709000469

Keywords


Equivalent norms, level function, weighted Lorentz spaces, sharp constants, weights



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Journal of the Austral. Maths Soc, copyright Australian Mathematical Society.