In [1], Metzger proposed whether John-Nirenberg’s theorem for BMOA in the unit disk can be translated to Riemann surfaces. For the compact bordered Riemann surface R we give an affirmative answer. Also we introduce a...In [1], Metzger proposed whether John-Nirenberg’s theorem for BMOA in the unit disk can be translated to Riemann surfaces. For the compact bordered Riemann surface R we give an affirmative answer. Also we introduce a special class of Ba spaces on R and then point out a relationship between BMOA(R)and Ba(R).展开更多
The family of spaces F(p,q,s)was introduced by the author in 1996.Since then,there has been great development in the theory of these spaces,due to the fact that these spaces include many classical function spaces,and ...The family of spaces F(p,q,s)was introduced by the author in 1996.Since then,there has been great development in the theory of these spaces,due to the fact that these spaces include many classical function spaces,and have connections with many other areas of mathematics.In this survey we present some basic properties and recent results on F(p,q,s)spaces.展开更多
A Jackson type inequality in Q p spaces is established, i.e., for any f (z) = Σ∞ j=0 ajzj ∈ Qp , 0≤p 【 ∞, a 】 1, and k-1 ∈ N,where ω(1/k, f, Q p ) is the modulus of continuity in Q p spaces and C(a) is an abs...A Jackson type inequality in Q p spaces is established, i.e., for any f (z) = Σ∞ j=0 ajzj ∈ Qp , 0≤p 【 ∞, a 】 1, and k-1 ∈ N,where ω(1/k, f, Q p ) is the modulus of continuity in Q p spaces and C(a) is an absolute constant depending only on the parameter a.展开更多
基金Project supported by the National Natural Science Foundation of China
文摘In [1], Metzger proposed whether John-Nirenberg’s theorem for BMOA in the unit disk can be translated to Riemann surfaces. For the compact bordered Riemann surface R we give an affirmative answer. Also we introduce a special class of Ba spaces on R and then point out a relationship between BMOA(R)and Ba(R).
文摘The family of spaces F(p,q,s)was introduced by the author in 1996.Since then,there has been great development in the theory of these spaces,due to the fact that these spaces include many classical function spaces,and have connections with many other areas of mathematics.In this survey we present some basic properties and recent results on F(p,q,s)spaces.
基金Supported by the Unidade de Investigao "Matemtica e Aplicaoes" of University of Aveiro, National Natural Science Foundation of China (Grant No. 10771201)New Century Excellent Talentsin University (Grant No. 05-0539)
文摘A Jackson type inequality in Q p spaces is established, i.e., for any f (z) = Σ∞ j=0 ajzj ∈ Qp , 0≤p 【 ∞, a 】 1, and k-1 ∈ N,where ω(1/k, f, Q p ) is the modulus of continuity in Q p spaces and C(a) is an absolute constant depending only on the parameter a.
