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Date(投稿日時):Subject(見出し):From(投稿者):
23542008/12/03Re: (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)
23532008/12/03Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$,&RM-8BB,EY6u4V$G (B1 $B!e (Bp< $B!g$G (Bf_k $B$O (Bf $B$K (BL^p $B<}B+$G"O (Bx $B":&8 (B,lim[k $B"*!g (B]g_k(x)=g(x) $B$G"O (Bk, $B!B (Bg_k $B!B (B_ $B!g!e (BM $B$J$i (Bf_kg_k $B$O (Bfg $B$K (BL^p $B<}B+$9$k;v$r<($; (Bkyokoyoshida123@gmail.com
23522008/12/03Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$K$*$$$F (Bf_k $B$O (Bf $B$K (BL^p $B<}B+ (B(1 $B!e (Bp $B!e!g (B) $B$J$i"O (Bg $B": (BL^q (1/p+1/q=1) $B$KBP$7$F"i (B_ $B&8 (Bf_k(x)g(x)d $B&L"*"i (B_ $B&8 (Bf(x)g(x)d $B&L$r<($; (Bkyokoyoshida123@gmail.com
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)
23322008/11/10Re: (v_1+v_2)( $B!_ (B)w=v_1( $B!_ (B)w + v_2( $B!_ (B)w $B$N>ZL@ (Bcchikakoo@yahoo.co.jp
23312008/11/10Re: (v_1+v_2)(×)w=v_1(×)w + v_2(×)wの証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
23302008/11/09Re: (v_1+v_2)( $B!_ (B)w=v_1( $B!_ (B)w + v_2( $B!_ (B)w $B$N>ZL@ (Bcchikakoo@yahoo.co.jp
23292008/11/08Re: (v_1+v_2)(×)w=v_1(×)w + v_2(×)wの証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
23282008/11/07Re: (v_1+v_2)(×)w=v_1(×)w + v_2(×)wの証明cchikakoo@yahoo.co.jp
23272008/11/06Re: $BB,EY6u4V (B(R,B(R), $B&L (B) $B$G (Bf(x)=x^2 $B$N;~ (B, $B"i (B_R fd $B&L$r7W;;$;$h (Bkyokoyoshida123@gmail.com
23262008/11/06Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$rG$0U$N&RM-8BB,EY6u4V!# (Bf $B$,&L@QJ,2DG="N (Bf_+ $B$H (Bf_- $B$O&L@QJ,2DG= (Bkyokoyoshida123@gmail.com
23252008/11/05These arithmetical high-order methods do not appear in any Japanesse, nor Chinese, nor Hindu, nor European, nor Mayan text on numbers.arithmonic <djesusg@gmail.com>
23232008/11/05Re: 測度空間(R,B(R),μ)でf(x)=x^2の時,∫_R fdμを計算せよchiaki@kit.ac.jp (Tsukamoto Chiaki)
23222008/11/05Re: (Ω,Σ,μ)を任意のσ有限測度空間。fがμ積分可能⇔f_+とf_-はμ積分可能chiaki@kit.ac.jp (Tsukamoto Chiaki)
23212008/11/05Re: $BB,EY6u4V (B(R,B(R), $B&L (B) $B$G (Bf(x)=x^2 $B$N;~ (B, $B"i (B_R fd $B&L$r7W;;$;$h (Bkyokoyoshida123@gmail.com
23202008/11/05Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$rG$0U$N&RM-8BB,EY6u4V!# (Bf $B$,&L@QJ,2DG="N (Bf_+ $B$H (Bf_- $B$O&L@QJ,2DG= (Bkyokoyoshida123@gmail.com
23192008/11/04Re: (v_1+v_2)(×)w=v_1(×)w + v_2(×)wの証明kono@ie.u-ryukyu.ac.jp (Shinji KONO)
23182008/11/03Re: 測度空間(R,B(R),μ)でf(x)=x^2の時,∫_R fdμを計算せよchiaki@kit.ac.jp (Tsukamoto Chiaki)
23172008/11/03Re: (Ω,Σ,μ)を任意のσ有限測度空間。fがμ積分可能⇔f_+とf_-はμ積分可能chiaki@kit.ac.jp (Tsukamoto Chiaki)
23162008/11/03Re: $BB,EY6u4V (B(R,B(R), $B&L (B) $B$G (Bf(x)=x^2 $B$N;~ (B, $B"i (B_R fd $B&L$r7W;;$;$h (Bkyokoyoshida123@gmail.com
23152008/11/03Re: ( $B&8 (B, $B&2 (B, $B&L (B) $B$rG$0U$N&RM-8BB,EY6u4V!# (Bf $B$,&L@QJ,2DG="N (Bf_+ $B$H (Bf_- $B$O&L@QJ,2DG= (Bkyokoyoshida123@gmail.com
23142008/11/02Re: (Ω,Σ,μ)を任意のσ有限測度空間。fがμ積分可能⇔f_+とf_-はμ積分可能chiaki@kit.ac.jp (Tsukamoto Chiaki)
23132008/11/02Re: (v_1+v_2)(×)w=v_1(×)w + v_2(×)wの証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
23122008/11/02Re: 測度空間(R,B(R),μ)でf(x)=x^2の時,∫_R fdμを計算せよchiaki@kit.ac.jp (Tsukamoto Chiaki)
23112008/11/02Re: (Ω,Σ,μ)を任意のσ有限測度空間。fがμ積分可能⇔f_+とf_-はμ積分可能chiaki@kit.ac.jp (Tsukamoto Chiaki)
23102008/11/02Re: 測度空間(R,B(R),μ)でf(x)=x^2の時,∫_R fdμ を計算せよkono@ie.u-ryukyu.ac.jp (Shinji KONO)
23092008/11/02Re: (v_1+v_2)( $B!_ (B)w=v_1( $B!_ (B)w + v_2( $B!_ (B)w $B$N>ZL@ (Bcchikakoo@yahoo.co.jp
23082008/11/02測度空間(R,B(R),μ)でf(x)=x^2の時,∫_R fdμを計算せよkyokoyoshida123@gmail.com
23072008/11/02(Ω,Σ,μ)を任意のσ有限測度空間。fがμ積分可能⇔f_+とf_-はμ積分可能kyokoyoshida123@gmail.com
23062008/10/27(v_1+v_2)(×)w=v_1(×)w + v_2(×)wという等式の証明cchikakoo@yahoo.co.jp
23052008/10/26Re: (v_1+v_2)(×)w=v_1(×)w + v_2(×)wの証明chiaki@kit.ac.jp (Tsukamoto Chiaki)
23042008/10/26(v_1+v_2)(×)w=v_1(×)w + v_2(×)wという等式の証明cchikakoo@yahoo.co.jp
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