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A new proof of the characterization of the weighted Hardy inequality
(Royal Society of Edinburgh, 2005-12)
Maz'ja and Sinnamon proved a characterization of the boundedness of the Hardy operator from Lp(v) into Lq(w) in the case 0 < q < p, 1 < p < ∞. We present here a new simple proof of the sufficiency part of that result. © ...
Weighted inequalities for Hardy-Steklov operators
(Canadian Mathematical Soc, 2007-12)
We characterize the pairs of weights (v, w) for which the operator Tf(x) = g(x) ∫s(x)h(x) f with s and h increasing and continuous functions is of strong type (p, q) or weak type (p, q) with respect to the pair (v, w) in ...
Weighted hardy inequality with higher dimensional singularity on the boundary
(SPRINGER-VERLAG BERLIN, 2014)
Weighted weak-type inequalities for generalized Hardy operators
(Hindawi Publishing Corporation, 2006-12)
We characterize the pairs of weights (v,w) for which the Hardy-Steklov-type operator Tf(x)=g(x)∫ s(x) h(x) K(x,y)f(y)dy applies Lp (v) into weak- Lq (w), q <p , assuming certain monotonicity conditions on a,s ,h and k.
Caracterização da continuidade de operatores do tipo Calderón-Zygmund fortemente singular em espaços de Hardy
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2023-04-04)
In this thesis, we characterize the continuity of strongly singular Calderón-Zygmund operators of type $\sigma$ in Hardy spaces, weighted Hardy spaces and Hardy-Morrey spaces in the spirit of (Coifman and Meyer, 1977). In ...
On weighted inequalities for fractional integrals of radial functions
(Univ Illinois Urbana-champaign, 2011-05)
We prove a weighted version of the Hardy-Littlewood-So- bolev inequality for radially symmetric functions, and show that the range of admissible power weights appearing in the classical inequality due to Stein and Weiss ...