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Date(投稿日時):Subject(見出し):From(投稿者):
23512008/12/02Re: (Ω,Σ,μ)がσ有限測度空間で1≦p<∞でf_kはfにL^p収束で∀x∈Ω,lim[k→∞]g_k(x)=g(x)で∀k,‖g_k‖_∞≦Mならf_kg_kはfgにL^p収束する事を示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23502008/12/02Re: (Ω,Σ,μ)においてf_kはfにL^p収束(1≦p≦∞)なら∀g∈L^q (1/p+1/q=1)に対して∫_Ωf_k(x)g(x)dμ→∫_Ωf(x)g(x)dμを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23492008/12/02(Ω,Σ,μ)がσ有限測度空間で1≦p<∞でf_kはfにL^p収束で∀x∈Ω,lim[k→∞]g_k(x)=g(x)で∀k,‖g_k‖_∞≦Mならf_kg_kはfgにL^p収束する事を示せkyokoyoshida123@gmail.com
23482008/12/02(Ω,Σ,μ)においてf_kはfにL^p収束(1≦p≦∞)なら∀g∈L^q (1/p+1/q=1)に対して∫_Ωf_k(x)g(x)dμ→∫_Ωf(x)g(x)dμを示せkyokoyoshida123@gmail.com
23472008/12/01GPS math"Jon G." <jon8338@peoplepc.com>
23462008/11/26GPS math"Jon G." <jon8338@peoplepc.com>
23452008/11/24Re: f_n $B$O&22DB,4X?t$H$9$k!#$b$7 (Bf_n $B!f (B0 $B&L (B-a.e $B$J$i$P"i (B_ $B&8&2 (B[n=1.. $B!g (B]f_nd $B&L (B= $B&2 (B[n=1.. $B!g (B] $B"i (B_ $B&8 (Bf_nd $B&L$r<($; (Bkyokoyoshida123@gmail.com
23442008/11/24Re: f_nはΣ可測関数とする。もしf_n≧0 μ-a.eならば∫_ΩΣ[n=1..∞]f_ndμ=Σ[n=1..∞]∫_Ωf_ndμを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23432008/11/23Re: f_n $B$O&22DB,4X?t$H$9$k!#$b$7 (Bf_n $B!f (B0 $B&L (B-a.e $B$J$i$P"i (B_ $B&8&2 (B[n=1.. $B!g (B]f_nd $B&L (B= $B&2 (B[n=1.. $B!g (B] $B"i (B_ $B&8 (Bf_nd $B&L$r<($; (Bkyokoyoshida123@gmail.com
23422008/11/22Re: f_n $B$O&22DB,4X?t$H$9$k!#$b$7 (Bf_n $B!f (B0 $B&L (B-a.e $B$J$i$P"i (B_ $B&8&2 (B[n=1.. $B!g (B]f_nd $B&L (B= $B&2 (B[n=1.. $B!g (B] $B"i (B_ $B&8 (Bf_nd $B&L$r<($; (Bkyokoyoshida123@gmail.com
23412008/11/21Re: f_nはΣ可測関数とする。もしf_n≧0 μ-a.eならば∫_ΩΣ[n=1..∞]f_ndμ=Σ[n=1..∞]∫_Ωf_ndμを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23402008/11/21Re: f_n $B$O&22DB,4X?t$H$9$k!#$b$7 (Bf_n $B!f (B0 $B&L (B-a.e $B$J$i$P"i (B_ $B&8&2 (B[n=1.. $B!g (B]f_nd $B&L (B= $B&2 (B[n=1.. $B!g (B] $B"i (B_ $B&8 (Bf_nd $B&L$r<($; (Bkyokoyoshida123@gmail.com
23392008/11/20Re: f_nはΣ可測関数とする。もしf_n≧0 μ-a.eならば∫_ΩΣ[n=1..∞]f_ndμ=Σ[n=1..∞]∫_Ωf_ndμを示せchiaki@kit.ac.jp (Tsukamoto Chiaki)
23382008/11/20f_nはΣ可測関数とする。もしf_n≧0 μ-a.eならば∫_ΩΣ[n=1..∞]f_ndμ=Σ[n=1..∞]∫_Ωf_ndμを示せkyokoyoshida123@gmail.com
23372008/11/17Re: (v_1+v_2)( $B!_ (B)w=v_1( $B!_ (B)w + v_2( $B!_ (B)w $B$N>ZL@ (Bcchikakoo@yahoo.co.jp
23362008/11/13数学の適用制限nagaya <pblic-commitment@st-nagaya.jp>
23352008/11/12Re: (v_1+v_2)(×)w=v_1(×)w + v_2(×)wの証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
23342008/11/12Re: (v_1+v_2)( $B!_ (B)w=v_1( $B!_ (B)w + v_2( $B!_ (B)w $B$N>ZL@ (Bcchikakoo@yahoo.co.jp
23332008/11/10Re: (v_1+v_2)(×)w=v_1(×)w + v_2(×)wの証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
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