Hardy-littlewood inequality
WebSuch inequalities are the continuous versions of the classical rearrangement inequalities for discrete sets of numbers. I am interested in the equality case in (HL). As far as the rightmost inequality is concerned, there is a vast literature on the subject. WebJun 2, 2024 · A rearrangement inequality for the one-dimensional uncentered Hardy–Littlewood maximal function is obtained. That is, for each x\in {\mathbb {R}}, the inequality (Mf)^* (x)\le Mf^* (x) holds, where f^* is the symmetric decreasing rearrangement function of f. The analogical rearrangement inequalities for high-dimensional case is …
Hardy-littlewood inequality
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Web(iii) The equivalence between the norms of the noncommutative Hardy spaces and of the noncommutative L-P-spaces (1 < P < infinity). (iv) The noncommutative Hardy-Littlewood maximal inequality. (v) A description of BMO as an intersection of two dyadic BMO. (vi) The interpolation results on these Hardy spaces. 展开 WebFeb 7, 2024 · Hardy-Littlewood-Sobolev and related inequalities: stability. The purpose of this text is twofold. We present a review of the existing stability results for Sobolev, Hardy-Littlewood-Sobolev (HLS) and related inequalities. We also contribute to the topic with some observations on constructive stability estimates for (HLS).
WebThis classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and lucidly both … Webin the sense of Hardy-Littlewood-Sobolev inequality recalled in Proposition 2.2. The study of the Neumann boundary conditions with Laplacian operators has been an active area of research for several decades. A considerable body of literature is available for prob-lems involving both sub-critical and critical nonlinearities.
WebFind many great new & used options and get the best deals for Hardy-Littlewood and Ulyanov Inequalities (Memoirs of the American at the best online prices at eBay! Free … WebThis is a corollary of the Hardy–Littlewood maximal inequality. Hardy–Littlewood maximal inequality. This theorem of G. H. Hardy and J. E. Littlewood states that M is bounded as a sublinear operator from the L p (R d) to itself for p > 1. That is, if f ∈ L p (R d) then the maximal function Mf is weak L 1-bounded and Mf ∈ L p (R d).
WebWe study the Hardy–Littlewood–Sobolev inequality on mixed-norm Lebesgue spaces. We give a complete characterization of indices \vec p and \vec q such that the Riesz potential is bounded from L^ {\vec p} to L^ {\vec q}. In particular, all the endpoint cases are studied.
WebJan 1, 1973 · Inequalities [Hardy, G. H.;Littlewood, J.E.; Polya, G.] on Amazon.com. *FREE* shipping on qualifying offers. Inequalities togalimited.comWebOct 31, 2024 · In this note we combine semigroup theory with a nonlocal calculus for these hypoelliptic operators to establish new inequalities of Hardy–Littlewood–Sobolev type … people of american samoaWebOct 24, 2024 · In mathematical analysis, the Hardy–Littlewood inequality, named after G. H. Hardy and John Edensor Littlewood, states that if f and g are nonnegative … toga life cityWebMay 20, 2024 · Finally, by using the method of moving plane in integral forms, we prove that extremals of the Hardy-Littlewood-Sobolev inequality with the fractional Poisson kernel must be radially symmetric and decreasing about some point \({\xi _0}\, \in \,\partial \mathbb{R}_+ ^n.\) people of ancient greeceWebG. H. Hardy, J. E. Littlewood and G. Polya, “Inequalities,” Cambridge University Press, Cambridge, 1952, MR0046395(13727e), Reprinted 1991. Login. ... The aim of this paper … people of anathothWebDiscrete HardyLittlewood 2 and the associated function ma (c) = Ma). This is also the onedimensional measure of the intersection of the line y = c and the region {(x,y) 0 ≤ y ≤ … toga life gameWebApr 23, 2024 · Remark 1.The inequality (n-HLS) actually holds for $\frac1 p - \frac1q +1 \le \frac{\alpha}{d}$.However, the non-endpoint case $\frac1 p - \frac1q +1 < … toga life game free