Abstract

We prove that the pointwise multipliers acting in a pair of fractional Sobolev spaces form the space of boundary traces of multipliers in a pair of weighted Sobolev space of functions in a domain.

Highlights

  • ×ØÖ Øo Ï ÔÖÓÚ Ø Ø Ø ÔÓ ÒØÛ × ÑÙÐØ ÔÐ Ö× ØÒÒÔÖÓÖØ ÓÒ Ð.

  • ËÓ ÓÐ Ú ×Ô × ÓÖÑ Ø ×Ô Ó ÓÙÒ ÖÝ ØÖ × Ó ÑÙÐØ ÔÐ Ö× ÒÔÖÓÛØ ËÓ ÓÐ Ú ×Ô Ó ÙÒ Ø ÓÒ× Ò ÓÑ Òo

  • Û ÒÓØ Ø ×Ô Ó ÑÙÐØ ÔÐ Ö× ­ Ë1⁄2 Ë3⁄4 Û Ø Ø ÒÓÖÑ

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Summary

Introduction

×ØÖ Øo Ï ÔÖÓÚ Ø Ø Ø ÔÓ ÒØÛ × ÑÙÐØ ÔÐ Ö× ØÒÒÔÖÓÖØ ÓÒ Ð. ËÓ ÓÐ Ú ×Ô × ÓÖÑ Ø ×Ô Ó ÓÙÒ ÖÝ ØÖ × Ó ÑÙÐØ ÔÐ Ö× ÒÔÖÓÛØ ËÓ ÓÐ Ú ×Ô Ó ÙÒ Ø ÓÒ× Ò ÓÑ Òo Û ÒÓØ Ø ×Ô Ó ÑÙÐØ ÔÐ Ö× ­ Ë1⁄2 Ë3⁄4 Û Ø Ø ÒÓÖÑ

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