E. H. A. Thiam, Weighted Hardy Inequality On Riemannian manifolds, Communications in Con- temporary Mathematics, 2016, 18(6), 1550072, 25pp.Thiam E. H. A., Weighted HArdy inequality on Riemannian manifolds. Preprint.Thiam E. H. A., Weighted Hardy inequality on Riemannian manifolds, to ...
E. T. Sawyer showed that theHardy-type inequality Tf Luq C f Lvp could be characterized by three independentconditions on the weights. We give a simple proof of the fact thatif the weight v is of product type, then in fact only onecondition is needed. Moreover, by using this ...
In this paper, under appropriate conditions on Young's functions Φ1, Φ2 we characterize the inequality % for the Hardy-type operator T defined in [1] and the inequality % for the fractional maximal operator M, υ; defined in [8], as well as the corresponding weak-type inequalities....
Sobolev不等式 Hardy 充要条件 加权 Lorentz空间 充分必要条件 卷积定理Using product and convolution theorems on Lorentz spaces, we characterize the sufficient and necessary conditions which ensure the validity of the doubly weighted Hardy-Littlewood-Sobolev inequality. It should be pointed out that we cons...
[4] On the best constant for a weighted Sobolev-Hardy inequality. J. London Math. Soc. (1993) 48: 137-151. [5] Finite Morse index solutions of an elliptic equation with supercritical exponent. J. Differential Equations (2011) 250: 3281-3310. [6] Finite Morse index solutions of weig...
(Hardy’s inequality) for all f∈Lp,μ(R+;X), the estimate ∫0∞|t−μ∫0tf(s)ds|pdt≤1(μ−1/p)p∫0∞|t1−μf(t)|pdt (2.1) is satisfied. Proof The proof of the first two assertions can be found in [51, Lemma 2.1], while for a proof of the last assertion, ...
The inequality of Hardy, Landau and Littlewood is established in weighted Lp spaces, for weights satisfying Muckenhoupt's (Ap) condition. That is, for f ∈ Dom (D, and In addition, we show that the indefinite integral possesses a strongly continuous group of imaginary powers in (0, ∞)...
Mathematical Notes 72, 799–810 (2002). https://doi.org/10.1023/A:1021437929109 Download citation Issue DateNovember 2002 DOIhttps://doi.org/10.1023/A:1021437929109 Riesz transform weighted norm Riesz potential Riesz projection Hardy's inequality Parseval's equality...
)forwhwhtheHardyq~peratorpf()一I,ft)dtisboundedfrom (u)to (,,)一O < 十一-. Keywords hardyu ra【¨r:weiBhtfxlrmtiur~~inequality §1. IntroductionandResults ktf(x bealionnegative—Lebe~guemeasurablefunctionon ’(= (0.+。。').TheHardy ...
John—Nirenberg inequality Mathematics Subject Classification primary 42B20 42B25 secondary 43A85 Access this article Log in via an institution Subscribe and save Springer+ Basic €32.70 /Month Get 10 units per month Download Article/Chapter or eBook ...