{"product_id":"9783319210148","title":"Integral Operators in Non-Standard Function Spaces, Volume 1: Variable Exponent Lebesgue and Amalgam Spaces (Operator Theory : Advances and Applications) \u003cVol. 248\u003e","description":"\u003cp\u003eThis book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them.\u003c\/p\u003e\u003cp\u003eThe results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria.\u003c\/p\u003e\u003cp\u003eThe book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematicsand prospective students.\u003c\/p\u003e _Preface.- I: Variable Exponent Lebesgue and Amalgam spaces.- 1 Hardy Type Operators.- 2 Oscillating weights.- 3 Kernel Integral Operators.- 4 Two-Weight Estimates.- 5 One-sided Operators.- 6 Two-weight Inequalities for Fractional Maximal Functions.- 7 Hypersingular Integrals.- 8 Description of the Range of Potentials 213.- 9 More on Compactness.- 10 Applications to Singular Integral Equations.- II: Hölder Spaces of Variable Order.- 11 Variable Order Hölder Spaces.- III: Variable Exponent Morrey-Campanato and Herz Spaces.- 12 Morrey Type Spaces; Constant Exponents.- 13 Morrey Type Spaces; Variable Exponents.- Bibliography.- Symbol Index.- Subject Index. \"The book is intended for researchers working in diverse branches of analysis and its applications.\" (Boris Rubin, zbMATH 1385.47001, 2018)\n\n\"The entire book presents a complete picture of the area in a consecutive way. It could be seen as a short encyclopedia that is very useful as a basis for deeper study but also for further research in the area.\" (Nikos Labropoulos, Mathematical Reviews, August, 2017)\u003cp\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":52375829414199,"sku":"00000_00000_00000_00000","price":758.46,"currency_code":"MYR","in_stock":true}],"url":"https:\/\/kinokuniya.com.my\/products\/9783319210148","provider":"Books Kinokuniya Malaysia","version":"1.0","type":"link"}