{"product_id":"function-classes-on-the-unit-disc","title":"Function Classes on the Unit Disc","description":"\u003cp\u003eThis monograph contains a study on various function classes, a number of new results and new or easy proofs of old results (Fefferman-Stein theorem on subharmonic behavior, theorems on conjugate functions and fractional integration on Bergman spaces, Fefferman's duality theorem), which are interesting for specialists; applications of the Hardy-Littlewood inequalities on Taylor coefficients to (\u003cem\u003eC, α\u003c\/em\u003e)-maximal theorems and (\u003cem\u003eC, α\u003c\/em\u003e)-convergence; a study of BMOA, due to Knese, based only on Green's formula; the problem of membership of singular inner functions in Besov and Hardy-Sobolev spaces; a full discussion of g-function (all \u003cem\u003ep\u003c\/em\u003e \u0026gt; 0) and Calderón's area theorem; a new proof, due to Astala and Koskela, of the Littlewood-Paley inequality for univalent functions; and new results and proofs on Lipschitz spaces, coefficient multipliers and duality, including compact multipliers and multipliers on spaces with non-normal weights.\u003c\/p\u003e \u003cp\u003eIt also contains a discussion of analytic functions and lacunary series with values in quasi-Banach spaces with applications to function spaces and composition operators. Sixteen open questions are posed.\u003c\/p\u003e \u003cp\u003eThe reader is assumed to have a good foundation in Lebesgue integration, complex analysis, functional analysis, and Fourier series.\u003c\/p\u003e \u003cp\u003eFurther information can be found at the author's website at http:\/\/poincare.matf.bg.ac.rs\/~pavlovic.\u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":57335212540248,"sku":"9783110281231","price":203.98,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9783110281231.jpg?v=1780041620","url":"https:\/\/agendabookshop.com\/products\/function-classes-on-the-unit-disc","provider":"Agenda Bookshop","version":"1.0","type":"link"}