id sid eid entity type ejpam-4528 1 1 european journal ORG ejpam-4528 2 1 15 CARDINAL ejpam-4528 2 2 4 CARDINAL ejpam-4528 2 3 2022 CARDINAL ejpam-4528 2 4 1512-1520 CARDINAL ejpam-4528 2 5 1307-5543 CARDINAL ejpam-4528 2 6 new york GPE ejpam-4528 2 7 mohamed guessous1 PERSON ejpam-4528 2 8 1 CARDINAL ejpam-4528 2 9 ben m’sik PERSON ejpam-4528 2 10 hassan ii PERSON ejpam-4528 2 11 casablanca GPE ejpam-4528 2 12 morocco GPE ejpam-4528 7 1 2020 DATE ejpam-4528 7 2 28a20 CARDINAL ejpam-4528 7 3 28a25 CARDINAL ejpam-4528 7 4 40a05 DATE ejpam-4528 7 5 46g10 CARDINAL ejpam-4528 7 6 1 CARDINAL ejpam-4528 7 7 1],[10],[11],[13],[14],[12],[18 CARDINAL ejpam-4528 7 8 2],[17],[19 CARDINAL ejpam-4528 8 1 9],[15 CARDINAL ejpam-4528 8 2 22 CARDINAL ejpam-4528 11 1 5],[6 CARDINAL ejpam-4528 11 2 16 CARDINAL ejpam-4528 13 1 pettis integrable PERSON ejpam-4528 13 2 ∥x′∥ ≤ 1 FAC ejpam-4528 13 3 14 CARDINAL ejpam-4528 13 4 5.2 CARDINAL ejpam-4528 14 1 1 CARDINAL ejpam-4528 15 1 pettis integrable PERSON ejpam-4528 15 2 1 CARDINAL ejpam-4528 16 1 e′ DATE ejpam-4528 19 1 a.e. GPE ejpam-4528 20 1 e′ GPE ejpam-4528 21 1 pettis integrable theorem PERSON ejpam-4528 21 2 2 CARDINAL ejpam-4528 22 1 4 CARDINAL ejpam-4528 23 1 pettis integrable PERSON ejpam-4528 24 1 16 CARDINAL ejpam-4528 24 2 4 CARDINAL ejpam-4528 24 3 16 CARDINAL ejpam-4528 24 4 6 CARDINAL ejpam-4528 26 1 https://doi.org/10.29020/nybg.ejpam.v15i4.4528 LANGUAGE ejpam-4528 26 2 m. guessous PERSON ejpam-4528 26 3 1512 CARDINAL ejpam-4528 27 1 2022 CARDINAL ejpam-4528 28 1 n. sabiri PERSON ejpam-4528 28 2 m. guessous PERSON ejpam-4528 29 1 j. pure PERSON ejpam-4528 29 2 15 CARDINAL ejpam-4528 29 3 4 CARDINAL ejpam-4528 29 4 2022 CARDINAL ejpam-4528 29 5 1512-1520 CARDINAL ejpam-4528 29 6 ω ORDINAL ejpam-4528 30 1 σ(e,e′ ORG ejpam-4528 31 1 e′ DATE ejpam-4528 33 1 ω → e′ ORG ejpam-4528 33 2 x′ ∈ e′ ORG ejpam-4528 34 1 ω 7→ ⟨f(ω ORG ejpam-4528 35 1 ω 7→ ⟨f(ω ORG ejpam-4528 36 1 two CARDINAL ejpam-4528 36 2 − a.e. PERSON ejpam-4528 38 1 a.e. PERSON ejpam-4528 40 1 ω → e′ ORG ejpam-4528 41 1 7 CARDINAL ejpam-4528 41 2 1 CARDINAL ejpam-4528 42 1 52 CARDINAL ejpam-4528 42 2 ∈ ORG ejpam-4528 42 3 x′′f ORG ejpam-4528 43 1 x′′f ORG ejpam-4528 43 2 pettis integrable PERSON ejpam-4528 44 1 ∈ ORG ejpam-4528 46 1 7 CARDINAL ejpam-4528 46 2 53 CARDINAL ejpam-4528 46 3 ∈ ORG ejpam-4528 46 4 x′f PERSON ejpam-4528 47 1 e′ GPE ejpam-4528 49 1 x′f PERSON ejpam-4528 49 2 ⊗ e′ PERSON ejpam-4528 49 3 ∀h ∈ WORK_OF_ART ejpam-4528 49 4 ∫ ω ORG ejpam-4528 49 5 ∫ ω h⟨f ORG ejpam-4528 49 6 8 CARDINAL ejpam-4528 49 7 7 CARDINAL ejpam-4528 50 1 291 CARDINAL ejpam-4528 50 2 x′⟩)n ORG ejpam-4528 50 3 1 CARDINAL ejpam-4528 50 4 pettis integrable e-valued PERSON ejpam-4528 51 1 1 CARDINAL ejpam-4528 51 2 ⊗ e′ PERSON ejpam-4528 52 1 20 CARDINAL ejpam-4528 52 2 14 CARDINAL ejpam-4528 52 3 3.3 CARDINAL ejpam-4528 54 1 ∫ ω ∥f(ω)∥ ORG ejpam-4528 56 1 n. sabiri PERSON ejpam-4528 56 2 m. guessous PERSON ejpam-4528 57 1 j. pure PERSON ejpam-4528 57 2 15 CARDINAL ejpam-4528 57 3 4 CARDINAL ejpam-4528 57 4 2022 CARDINAL ejpam-4528 57 5 1512-1520 1514 CARDINAL ejpam-4528 58 1 lim µ(a)→0 PERSON ejpam-4528 58 2 0 CARDINAL ejpam-4528 61 1 16 CARDINAL ejpam-4528 62 1 sui PERSON ejpam-4528 62 2 ∥x′∥ ≤ 1 FAC ejpam-4528 63 1 3 CARDINAL ejpam-4528 63 2 pettis integrability PERSON ejpam-4528 63 3 10 CARDINAL ejpam-4528 63 4 pettis integrable PERSON ejpam-4528 63 5 sui PERSON ejpam-4528 63 6 14 CARDINAL ejpam-4528 63 7 5.2 CARDINAL ejpam-4528 66 1 4 CARDINAL ejpam-4528 66 2 3.1 CARDINAL ejpam-4528 66 3 1 CARDINAL ejpam-4528 67 1 ⊗ e′ PERSON ejpam-4528 68 1 pettis integrable PERSON ejpam-4528 70 1 1 CARDINAL ejpam-4528 71 1 ⊗ e′ PERSON ejpam-4528 73 1 x′ CARDINAL ejpam-4528 73 2 ∈ ω ORG ejpam-4528 74 1 x′⟩| DATE ejpam-4528 74 2 a.e. GPE ejpam-4528 74 3 ω ORG ejpam-4528 74 4 f(ω ORG ejpam-4528 74 5 x′⟩|dµ(ω ORG ejpam-4528 75 1 0 CARDINAL ejpam-4528 75 2 ∫ ω ORG ejpam-4528 75 3 ∫ ω h(ω)⟨f(ω ORG ejpam-4528 76 1 n. sabiri PERSON ejpam-4528 76 2 m. guessous PERSON ejpam-4528 77 1 j. pure PERSON ejpam-4528 77 2 15 CARDINAL ejpam-4528 77 3 4 CARDINAL ejpam-4528 77 4 2022 CARDINAL ejpam-4528 77 5 1512 CARDINAL ejpam-4528 77 6 1 CARDINAL ejpam-4528 78 1 pettis integrable PERSON ejpam-4528 78 2 sui PERSON ejpam-4528 78 3 pettis integrable PERSON ejpam-4528 80 1 pettis integrable PERSON ejpam-4528 80 2 ∀n ≥ 1 DATE ejpam-4528 81 1 1 CARDINAL ejpam-4528 81 2 1 CARDINAL ejpam-4528 82 1 5.2 CARDINAL ejpam-4528 82 2 14 CARDINAL ejpam-4528 82 3 pettis integrable PERSON ejpam-4528 85 1 1 CARDINAL ejpam-4528 88 1 pettis integrable PERSON ejpam-4528 88 2 pettis integrable PERSON ejpam-4528 92 1 x′′⟩ ORG ejpam-4528 93 1 ω ∈ ω ORG ejpam-4528 93 2 ≤ ∥f(ω)∥. CARDINAL ejpam-4528 93 3 sui PERSON ejpam-4528 94 1 1 CARDINAL ejpam-4528 98 1 vitali PERSON ejpam-4528 99 1 2 CARDINAL ejpam-4528 103 1 x′′⟩ ORG ejpam-4528 104 1 a.e. GPE ejpam-4528 105 1 pettis integrable PERSON ejpam-4528 109 1 1 CARDINAL ejpam-4528 109 2 vitali PERSON ejpam-4528 110 1 2 CARDINAL ejpam-4528 113 1 ω → e′ ORG ejpam-4528 115 1 pettis integrable PERSON ejpam-4528 115 2 a.e. GPE ejpam-4528 115 3 pettis integrable PERSON ejpam-4528 116 1 n. sabiri PERSON ejpam-4528 116 2 m. guessous PERSON ejpam-4528 117 1 j. pure PERSON ejpam-4528 117 2 15 CARDINAL ejpam-4528 117 3 4 CARDINAL ejpam-4528 117 4 2022 CARDINAL ejpam-4528 117 5 1512 CARDINAL ejpam-4528 118 1 f(ω ORG ejpam-4528 119 1 lim inf n ∫ ω PERSON ejpam-4528 121 1 pettis integrable PERSON ejpam-4528 121 2 a.e. GPE ejpam-4528 123 1 lemma 2 ORG ejpam-4528 123 2 16 CARDINAL ejpam-4528 123 3 gn ORG ejpam-4528 123 4 a.e. GPE ejpam-4528 123 5 0 CARDINAL ejpam-4528 123 6 e′ GPE ejpam-4528 123 7 a.e. GPE ejpam-4528 124 1 2 CARDINAL ejpam-4528 124 2 pettis integrable PERSON ejpam-4528 128 1 3 CARDINAL ejpam-4528 131 1 e′ DATE ejpam-4528 134 1 e′ DATE ejpam-4528 135 1 e′ DATE ejpam-4528 137 1 2 CARDINAL ejpam-4528 137 2 16 CARDINAL ejpam-4528 138 1 f(ω ORG ejpam-4528 141 1 vitali PERSON ejpam-4528 141 2 ∈ ORG ejpam-4528 143 1 1 CARDINAL ejpam-4528 143 2 1 CARDINAL ejpam-4528 143 3 cesàro PERSON ejpam-4528 143 4 ∀x ORG ejpam-4528 143 5 ∈ PRODUCT ejpam-4528 145 1 ∀x ORG ejpam-4528 145 2 ∈ PRODUCT ejpam-4528 145 3 ∫ ω h⟨f ′ n ORG ejpam-4528 145 4 n. sabiri PERSON ejpam-4528 145 5 m. guessous PERSON ejpam-4528 146 1 j. pure PERSON ejpam-4528 146 2 15 CARDINAL ejpam-4528 146 3 4 CARDINAL ejpam-4528 146 4 2022 CARDINAL ejpam-4528 146 5 1512-1520 1517 CARDINAL ejpam-4528 146 6 1 e′ QUANTITY ejpam-4528 148 1 pettis integrable PERSON ejpam-4528 149 1 4 CARDINAL ejpam-4528 152 1 1 CARDINAL ejpam-4528 152 2 ∀x ORG ejpam-4528 152 3 ∈ PRODUCT ejpam-4528 153 1 2 CARDINAL ejpam-4528 155 1 2 CARDINAL ejpam-4528 155 2 pettis integrable PERSON ejpam-4528 155 3 ∈ e′′ ORG ejpam-4528 155 4 x′′⟩ dµ → ∫ ORG ejpam-4528 155 5 3 CARDINAL ejpam-4528 155 6 pettis integrable PERSON ejpam-4528 157 1 1 CARDINAL ejpam-4528 157 2 vitali PERSON ejpam-4528 157 3 7 CARDINAL ejpam-4528 158 1 3 CARDINAL ejpam-4528 158 2 e′ DATE ejpam-4528 159 1 e′ DATE ejpam-4528 162 1 ∀x ORG ejpam-4528 162 2 ∈ PRODUCT ejpam-4528 163 1 4 CARDINAL ejpam-4528 163 2 2 CARDINAL ejpam-4528 163 3 4 CARDINAL ejpam-4528 163 4 ∀x ORG ejpam-4528 163 5 ∈ PRODUCT ejpam-4528 165 1 ∀x ORG ejpam-4528 165 2 ∈ PRODUCT ejpam-4528 166 1 x⟩. a.e PERSON ejpam-4528 167 1 a.e. PERSON ejpam-4528 170 1 2 CARDINAL ejpam-4528 170 2 pettis integrable PERSON ejpam-4528 170 3 3 CARDINAL ejpam-4528 170 4 pettis integrable PERSON ejpam-4528 171 1 1 CARDINAL ejpam-4528 172 1 2 CARDINAL ejpam-4528 175 1 n. sabiri PERSON ejpam-4528 175 2 m. guessous PERSON ejpam-4528 176 1 j. pure PERSON ejpam-4528 176 2 15 CARDINAL ejpam-4528 176 3 4 CARDINAL ejpam-4528 176 4 2022 CARDINAL ejpam-4528 176 5 1512 CARDINAL ejpam-4528 179 1 lim n ∥f PERSON ejpam-4528 180 1 0 CARDINAL ejpam-4528 182 1 ∈ e′′ ORG ejpam-4528 182 2 x′′⟩ dµ → ∫ ORG ejpam-4528 182 3 x′′⟩ ORG ejpam-4528 182 4 4 CARDINAL ejpam-4528 182 5 2 CARDINAL ejpam-4528 182 6 pettis integrable PERSON ejpam-4528 183 1 2 CARDINAL ejpam-4528 183 2 4 CARDINAL ejpam-4528 184 1 5 CARDINAL ejpam-4528 186 1 1 CARDINAL ejpam-4528 186 2 2 CARDINAL ejpam-4528 186 3 pettis integrable PERSON ejpam-4528 186 4 3 CARDINAL ejpam-4528 186 5 k ∈ n∗ ORG ejpam-4528 186 6 ∈ PRODUCT ejpam-4528 186 7 ∈ e′′ ORG ejpam-4528 186 8 x′′⟩ ORG ejpam-4528 186 9 5 CARDINAL ejpam-4528 186 10 pettis integrable PERSON ejpam-4528 188 1 1 CARDINAL ejpam-4528 188 2 2 CARDINAL ejpam-4528 189 1 1 CARDINAL ejpam-4528 189 2 1{∥f∥≤k}f CARDINAL ejpam-4528 189 3 pettis integrable PERSON ejpam-4528 189 4 k ∈ n∗ ORG ejpam-4528 189 5 4 CARDINAL ejpam-4528 189 6 2 CARDINAL ejpam-4528 189 7 1{∥fn∥≤k}fn)n CARDINAL ejpam-4528 189 8 pettis integrable PERSON ejpam-4528 190 1 1{∥fn∥≤k}fn)n CARDINAL ejpam-4528 190 2 1 CARDINAL ejpam-4528 190 3 1{∥f∥≤k}f CARDINAL ejpam-4528 190 4 vitali PERSON ejpam-4528 190 5 ∀x ORG ejpam-4528 190 6 ∈ PRODUCT ejpam-4528 190 7 6 CARDINAL ejpam-4528 190 8 5 CARDINAL ejpam-4528 190 9 6 CARDINAL ejpam-4528 190 10 ∀x ORG ejpam-4528 190 11 ∈ PRODUCT ejpam-4528 191 1 a.e. PERSON ejpam-4528 191 2 1{∥f∥≤k}f CARDINAL ejpam-4528 192 1 1{∥f∥≤k}f CARDINAL ejpam-4528 192 2 pettis integrable PERSON ejpam-4528 193 1 4 CARDINAL ejpam-4528 193 2 16 CARDINAL ejpam-4528 194 1 nonempty ORG ejpam-4528 194 2 6 CARDINAL ejpam-4528 196 1 pettis integrable PERSON ejpam-4528 196 2 n ∈ n ORG ejpam-4528 196 3 ω ∈ ω ORG ejpam-4528 197 1 gn ORG ejpam-4528 197 2 gn ORG ejpam-4528 197 3 1519 CARDINAL ejpam-4528 197 4 1n CARDINAL ejpam-4528 198 1 a.e. GPE ejpam-4528 198 2 f. PERSON ejpam-4528 198 3 1{∥hn∥