Download E-books Theory of Sobolev Multipliers: With Applications to Differential and Integral Operators (Grundlehren der mathematischen Wissenschaften) PDF

By Vladimir G. Maz'ya, Tatiana O. Shaposhnikova

The aim of this publication is to provide a entire exposition of the speculation of pointwise multipliers appearing in pairs of areas of differentiable services. the idea used to be primarily constructed by means of the authors over the last thirty years and the current quantity is especially in response to their effects. half I is dedicated to the idea of multipliers and encloses the next subject matters: hint inequalities, analytic characterization of multipliers, kinfolk among areas of Sobolev multipliers and different functionality areas, maximal subalgebras of multiplier areas, lines and extensions of multipliers, crucial norm and compactness of multipliers, and miscellaneous homes of multipliers. half II issues numerous functions of this concept: continuity and compactness of differential operators in pairs of Sobolev areas, multipliers as recommendations to linear and quasilinear elliptic equations, greater regularity within the unmarried and double layer capability concept for Lipschitz domain names, regularity of the boundary in $L_p$-theory of elliptic boundary price difficulties, and singular critical operators in Sobolev areas.

Show description

Read or Download Theory of Sobolev Multipliers: With Applications to Differential and Integral Operators (Grundlehren der mathematischen Wissenschaften) PDF

Similar Applied Mathematicsematics books

Figures of Thought: Mathematics and Mathematical Texts

Infrequently has the heritage or philosophy of arithmetic been written approximately through mathematicians, and the research of mathematical texts themselves has been a space nearly completely unexplored. Figures of concept appears to be like at ways that mathematical works should be learn as texts, examines their textual ideas and demonstrates that such readings offer a wealthy resource of philosophical concerns relating to arithmetic: concerns which conventional techniques to the background and philosophy of arithmetic have missed.

Perspectives in Mathematical System Theory, Control, and Signal Processing: A Festschrift in Honor of Yutaka Yamamoto on the Occasion of his 60th Birthday

This Festschrift, released at the get together of the 60th birthday of Yutaka - mamoto (‘YY’ as he's sometimes casually referred to), encompasses a number of articles via associates, colleagues, and previous Ph. D. scholars of YY. they're a tribute to his friendship and his scienti? c imaginative and prescient and oeuvre, which has been a resource of idea to the authors.

Additional info for Theory of Sobolev Multipliers: With Applications to Differential and Integral Operators (Grundlehren der mathematischen Wissenschaften)

Show sample text content

Rated 4.76 of 5 – based on 17 votes