In martingale setting, it has been shown thatA p weights can be factorized in terms ofA 1 weights. This factorization benefits many problems very much. In this paper, the new class of RH∞ plays the same role for RH s...In martingale setting, it has been shown thatA p weights can be factorized in terms ofA 1 weights. This factorization benefits many problems very much. In this paper, the new class of RH∞ plays the same role for RH s , which makes the reverse H?lder inequalities hold with exponents>1, that the classA 1 does forA p class. Therefore, the Jones' factorization theorem forA p weights was extended to include some information about the reverse H?lder classes. And it is the most convenient object in weight theory indeed. Key words martingale space - minimal function - weight inequality - reverse H?lder class CLC number O 221. 4 Foundation item: Supported by the National Natural Science Foundation of China (19771063)Biography: Zuo Hong-liang (1976-), male, Ph. D candidate, research direction: martingale theory.展开更多
Let L=-△＋V be the Schrodinger operator on Rd, where？is the Laplacian on Rd and V ≠=0 is a nonnegative function satisfying the reverse Holder’s inequality. The authors prove that Riesz potential Iβand its commuta...Let L=-△＋V be the Schrodinger operator on Rd, where？is the Laplacian on Rd and V ≠=0 is a nonnegative function satisfying the reverse Holder’s inequality. The authors prove that Riesz potential Iβand its commutator [b,Iβ] associated with L map from Mp,qα,v into Mp1,q1α,v .展开更多
Let f be an H-periodic HOlder continuous function of two real variables.The error ｜｜f-Nn （p;f）｜｜ is estimated in the uniform norm and in the Holder norm,where p=（pk）k=0∞is a nonincreasing sequence of positive...Let f be an H-periodic HOlder continuous function of two real variables.The error ｜｜f-Nn （p;f）｜｜ is estimated in the uniform norm and in the Holder norm,where p=（pk）k=0∞is a nonincreasing sequence of positive numbers and Nn （p;f） is thenth Norlund mean of hexagonal Fourier series of f with respect to p = （pk）k∞=0.展开更多
基金Supported by the National Natural Science Foundation of China(19771063)
文摘In martingale setting, it has been shown thatA p weights can be factorized in terms ofA 1 weights. This factorization benefits many problems very much. In this paper, the new class of RH∞ plays the same role for RH s , which makes the reverse H?lder inequalities hold with exponents>1, that the classA 1 does forA p class. Therefore, the Jones' factorization theorem forA p weights was extended to include some information about the reverse H?lder classes. And it is the most convenient object in weight theory indeed. Key words martingale space - minimal function - weight inequality - reverse H?lder class CLC number O 221. 4 Foundation item: Supported by the National Natural Science Foundation of China (19771063)Biography: Zuo Hong-liang (1976-), male, Ph. D candidate, research direction: martingale theory.
文摘Let L=-△＋V be the Schrodinger operator on Rd, where？is the Laplacian on Rd and V ≠=0 is a nonnegative function satisfying the reverse Holder’s inequality. The authors prove that Riesz potential Iβand its commutator [b,Iβ] associated with L map from Mp,qα,v into Mp1,q1α,v .
基金supported by Balikesir University. Grant Number: 2014/49
文摘Let f be an H-periodic HOlder continuous function of two real variables.The error ｜｜f-Nn （p;f）｜｜ is estimated in the uniform norm and in the Holder norm,where p=（pk）k=0∞is a nonincreasing sequence of positive numbers and Nn （p;f） is thenth Norlund mean of hexagonal Fourier series of f with respect to p = （pk）k∞=0.
