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We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions.The class will be wider than the class of all the N-functions.In particular,we consider the non-smooth atomic decomposition.The rel...We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions.The class will be wider than the class of all the N-functions.In particular,we consider the non-smooth atomic decomposition.The relation between Orlicz-Hardy spaces and their duals is also studied.As an application,duality of Hardy spaces with variable exponents is revisited.This work is different from earlier works about Orlicz-Hardy spaces H（Rn）in that the class of admissible functions is largely widened.We can deal with,for example,Ф（r）≡（rp1（log（e＋1/r））q1,0〈r≤1,r^p2 （log（e＋r））q2,r〉1,with p1,p2∈（0,∞）and q1,q2∈（.∞,∞）,where we shall establish the boundedness of the Riesz transforms on H（Rn）.In particular,is neither convex nor concave when 0〈p1〈1〈p2〈∞,0〈p21〈p1〈∞or p1=p2=1 and q1,q20.If（r）≡r（log（e＋r））q,then H（Rn）=H（logH）q（Rn）.We shall also establish the boundedness of the fractional integral operators I of order∈（0,∞）.For example,I is shown to be bounded from H（logH）1^1-α/n（Rn）to Ln/（n-α）（log L）（Rn）for 0〈α〈n.展开更多
Following the outbreak of the subprime financial crisis,international accounting standards came under heavy fire for being strongly pro-cyclical.Under those standards,financial reporting mixes financial statement data...Following the outbreak of the subprime financial crisis,international accounting standards came under heavy fire for being strongly pro-cyclical.Under those standards,financial reporting mixes financial statement data with financial analysis data,seriously weakening the public interest function of financial reporting.An analysis using Marx’s fictitious capital theory shows that fair value accounting and asset impairment accounting are both defective.In line with the principle of“accounting based on legal fact,”we use the methodology of“historical cost accounting plus fair value disclosure”to distinguish between legal fact and financial expectations in financial reporting.This is a viable means of appropriately resolving the contradiction between ensuring that enterprise financial reporting observes domestic law and ensuring that it accords with international trends.展开更多
基金supported by Grant-in-Aid for Scientific Research (C) of Japan Society for the Promotion of Science (Grant No. 24540159)Grant-in-Aid for Young Scientists (B) of Japan Society for the Promotion of Science (Grant No. 24540085)
文摘We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions.The class will be wider than the class of all the N-functions.In particular,we consider the non-smooth atomic decomposition.The relation between Orlicz-Hardy spaces and their duals is also studied.As an application,duality of Hardy spaces with variable exponents is revisited.This work is different from earlier works about Orlicz-Hardy spaces H（Rn）in that the class of admissible functions is largely widened.We can deal with,for example,Ф（r）≡（rp1（log（e＋1/r））q1,0〈r≤1,r^p2 （log（e＋r））q2,r〉1,with p1,p2∈（0,∞）and q1,q2∈（.∞,∞）,where we shall establish the boundedness of the Riesz transforms on H（Rn）.In particular,is neither convex nor concave when 0〈p1〈1〈p2〈∞,0〈p21〈p1〈∞or p1=p2=1 and q1,q20.If（r）≡r（log（e＋r））q,then H（Rn）=H（logH）q（Rn）.We shall also establish the boundedness of the fractional integral operators I of order∈（0,∞）.For example,I is shown to be bounded from H（logH）1^1-α/n（Rn）to Ln/（n-α）（log L）（Rn）for 0〈α〈n.
基金the result of the Major Project of the National Social Science Fund of China(16ZDA029)the Key Project of the National Social Science Fund of China(13AFX019)+2 种基金supported by the Humanities and Social Science Fund of Ministry of Education(13YJC790223)the Research Fund “Branding Research Project” of Renmin University of China,i.e.the Basic Research Funds for the Central Universities(16XNI006)
文摘Following the outbreak of the subprime financial crisis,international accounting standards came under heavy fire for being strongly pro-cyclical.Under those standards,financial reporting mixes financial statement data with financial analysis data,seriously weakening the public interest function of financial reporting.An analysis using Marx’s fictitious capital theory shows that fair value accounting and asset impairment accounting are both defective.In line with the principle of“accounting based on legal fact,”we use the methodology of“historical cost accounting plus fair value disclosure”to distinguish between legal fact and financial expectations in financial reporting.This is a viable means of appropriately resolving the contradiction between ensuring that enterprise financial reporting observes domestic law and ensuring that it accords with international trends.
