第三代Chronomè tre à Ré sonance随着Chronomè tre à Ré sonance面世十周年(第一代Chronomè tre à Ré sonance早于2000年问世;第二代则于2004年问世,与品牌的全线系列一同改以18K玫瑰金...第三代Chronomè tre à Ré sonance随着Chronomè tre à Ré sonance面世十周年(第一代Chronomè tre à Ré sonance早于2000年问世;第二代则于2004年问世,与品牌的全线系列一同改以18K玫瑰金来铸造机芯的主夹板及桥板),F.P.Journe将它进化成配备24小时显示的作品。展开更多
Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators,untill now,the boundedness of operators on weighted Hardy spaces in a multi-parameter setting...Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators,untill now,the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates.In this paper,we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition.展开更多
让我们翻开世界独立制表人协会(AHCl)的会员名单,可以看到一连串耳熟能详的名字,其中Franck Muller于1992年建立了自己的品牌,成为当时AHCl会员中将制表艺术与商业操作成功融合的杰出代表。七年之后,当儒纳先生推出“F.P.Journe-Invenit...让我们翻开世界独立制表人协会(AHCl)的会员名单,可以看到一连串耳熟能详的名字,其中Franck Muller于1992年建立了自己的品牌,成为当时AHCl会员中将制表艺术与商业操作成功融合的杰出代表。七年之后,当儒纳先生推出“F.P.Journe-Invenit et Fecit”品牌的时候,预示着又一个钟表神话的重新开始。展开更多
The main purpose of this paper is to derive a new （p,q）-atomic decomposition on the multi-parameter Hardy space HP（X1 × X2） for 0 〈 po 〈 P ≤ 1 for some po and all 1 〈 q 〈 ∞, where X1 ×X2 is the pro...The main purpose of this paper is to derive a new （p,q）-atomic decomposition on the multi-parameter Hardy space HP（X1 × X2） for 0 〈 po 〈 P ≤ 1 for some po and all 1 〈 q 〈 ∞, where X1 ×X2 is the product of two spaces of homogeneous type in the sense of Coifman and Weiss. This decomposition converges in both L^q（X1 × X2） （for 1 〈 q 〈 ∞） and Hardy space HP（X1× X2） （for 0 〈 p _〈 1）. As an application, we prove that an operator T, which is bounded on Lq（X1× X2） for some 1 〈 q 〈 ∞, is bounded from H^p（X1 × X2） to L^p（X1 × X2） if and only if T is bounded uniformly on all （p, q）-product atoms in LP（X1 × X2）. The similar boundedness criterion from HP（X1 × X2） to HP（X1 × X2） is also obtained.展开更多
Suppose that g(f)are bi-parameter Littlewood-Paley square functions which were introduced by H.Martikainen.It is known that the L^2(R^n×R^m)boundedness and the H1(R^n×R^m)-L1(R^n×R^m)boundedness of g(f)...Suppose that g(f)are bi-parameter Littlewood-Paley square functions which were introduced by H.Martikainen.It is known that the L^2(R^n×R^m)boundedness and the H1(R^n×R^m)-L1(R^n×R^m)boundedness of g(f)have been proved by H.Martikainen and by Z.Li and Q.Xue,respectively.In this paper,we apply the vector-valued theory,the atomic decomposition of product Hardy spaces,and Journe’s covering lemma to show that g(f)are bounded from H^p(R^n×R^m)to Lp(R^n×R^m)with p smaller than 1.展开更多
Linear graphs are often used to depict conversion graphs and travel graphs. Example: The following graph shows the conversion between the Singapore dollar (S $) and the Malay- sian ringgit (RM) in 2000.
文摘第三代Chronomè tre à Ré sonance随着Chronomè tre à Ré sonance面世十周年(第一代Chronomè tre à Ré sonance早于2000年问世;第二代则于2004年问世,与品牌的全线系列一同改以18K玫瑰金来铸造机芯的主夹板及桥板),F.P.Journe将它进化成配备24小时显示的作品。
文摘Though atomic decomposition is a very useful tool for studying the boundedness on Hardy spaces for some sublinear operators,untill now,the boundedness of operators on weighted Hardy spaces in a multi-parameter setting has been established only by almost orthogonality estimates.In this paper,we mainly establish the boundedness on weighted multi-parameter local Hardy spaces via atomic decomposition.
文摘让我们翻开世界独立制表人协会(AHCl)的会员名单,可以看到一连串耳熟能详的名字,其中Franck Muller于1992年建立了自己的品牌,成为当时AHCl会员中将制表艺术与商业操作成功融合的杰出代表。七年之后,当儒纳先生推出“F.P.Journe-Invenit et Fecit”品牌的时候,预示着又一个钟表神话的重新开始。
文摘The main purpose of this paper is to derive a new （p,q）-atomic decomposition on the multi-parameter Hardy space HP（X1 × X2） for 0 〈 po 〈 P ≤ 1 for some po and all 1 〈 q 〈 ∞, where X1 ×X2 is the product of two spaces of homogeneous type in the sense of Coifman and Weiss. This decomposition converges in both L^q（X1 × X2） （for 1 〈 q 〈 ∞） and Hardy space HP（X1× X2） （for 0 〈 p _〈 1）. As an application, we prove that an operator T, which is bounded on Lq（X1× X2） for some 1 〈 q 〈 ∞, is bounded from H^p（X1 × X2） to L^p（X1 × X2） if and only if T is bounded uniformly on all （p, q）-product atoms in LP（X1 × X2）. The similar boundedness criterion from HP（X1 × X2） to HP（X1 × X2） is also obtained.
基金supported in part by the National Natural Science Foundation of China(Grant Nos.11901495,11771345)the Hunan Provincial Natural Science Foundation(2019JJ50573)the Hunan Education Department Project(18C0109).
文摘Suppose that g(f)are bi-parameter Littlewood-Paley square functions which were introduced by H.Martikainen.It is known that the L^2(R^n×R^m)boundedness and the H1(R^n×R^m)-L1(R^n×R^m)boundedness of g(f)have been proved by H.Martikainen and by Z.Li and Q.Xue,respectively.In this paper,we apply the vector-valued theory,the atomic decomposition of product Hardy spaces,and Journe’s covering lemma to show that g(f)are bounded from H^p(R^n×R^m)to Lp(R^n×R^m)with p smaller than 1.
文摘Linear graphs are often used to depict conversion graphs and travel graphs. Example: The following graph shows the conversion between the Singapore dollar (S $) and the Malay- sian ringgit (RM) in 2000.
