{"product_id":"weighted-morrey-spaces-marcus-laurel-9783111458168","title":"Weighted Morrey Spaces: Calder?n-Zygmund Theory and Boundary Problems","description":"\u003cp\u003eThis monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals. \u003c\/p\u003e \u003cp\u003eA functional analytic framework for Muckenhoupt-weighted Morrey spaces in the rough setting of Ahlfors regular sets is built from the ground up and subsequently supports a Calder?n-Zygmund theory on this brand of Morrey space in the optimal geometric environment of uniformly rectifiable sets. A thorough duality theory for such Morrey spaces is also developed and ushers in a never-before-seen Calder?n-Zygmund theory for Muckenhoupt-weighted Block spaces. Both weighted Morrey and Block spaces are also considered through the lens of (generalized) Banach function spaces, and ultimately, a variety of boundary value problems are formulated and solved with boundary data arbitrarily prescribed from either scale of space. \u003c\/p\u003e \u003cp\u003eThe fairly self-contained nature of this monograph ensures that graduate students, researchers, and professionals in a variety of fields, e.g., function space theory, harmonic analysis, and PDE, will find this monograph a welcome and valuable addition to the mathematical literature. \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Marcus Laurel, Marius Mitrea\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3111458164\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783111458168\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e de Gruyter\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/03\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 432\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.95lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.61h x 6.69w x 0.94d","brand":"Marcus Laurel","offers":[{"title":"Hardcover","offer_id":46217313714431,"sku":"9783111458168","price":148.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_423123b6-9e97-4c4f-8a2b-79ad5f08e58d.jpg?v=1728514894","url":"https:\/\/www.whiterainbookhouse.com\/products\/weighted-morrey-spaces-marcus-laurel-9783111458168","provider":"WR Book House","version":"1.0","type":"link"}