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Complex interpolation of vanishing Morrey spaces
Hakim D.I.a, Sawano Y.b
a Department of Mathematics, Bandung Institute of Technology, Bandung, 40132, Indonesia
b Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Tokyo, 192-0397, Japan
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© 2019, Tusi Mathematical Research Group (TMRG).We describe the first and second complex interpolations of vanishing Morrey spaces, introduced in Almeida and Samko (J Funct Anal 2726:2392–2411, 2017) and Chiarenza and Franciosi (Ann Mat Pura Appl 161(4):285–297, 1992). In addition, we show that the diamond subspace in Hakim et al. (Constr Approx 46:489–563, 2017) and one of the function spaces in [1] are the same. We also give several examples for showing that each of the complex interpolations of these spaces is different.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Complex interpolation,Morrey spaces,Vanishing Morrey spaces[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text][{‘$’: ‘The authors would like to thank the anonymous reviewers for their comments and remarks. Sawano was supported by Grant-in-Aid for Scientific Research (C) (16K05209), the Japan Society for the Promotion of Science and Peoples’ Friendship University of Russia.’}, {‘$’: ‘The authors would like to thank the anonymous reviewers for their comments and remarks. Sawano was supported by Grant-in-Aid for Scientific Research (C) (16K05209), the Japan Society for the Promotion of Science and Peoples? Friendship University of Russia.’}][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.1007/s43034-019-00045-w[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]