Optimal Regularity Properties of the Generalized Sobolev Spaces
Optimal Regularity Properties of the Generalized Sobolev Spaces
We prove optimal embeddings of the generalized Sobolev spaces <svg style="vertical-align:-0.1638pt;width:34.75px;" id="M1" height="16.9625" version="1.1" viewBox="0 0 34.75 16.9625" width="34.75" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,16.7)"><path id="x1D44A" d="M1004 650l-6 -29q-54 -6 -71 -19.5t-51 -74.5l-271 -539h-33l-98 506h-3l-258 -506h-30l-78 532q-10 67 -21.5 80t-66.5 21l6 29h241l-8 -29l-26 -5q-34 -6 -41 -16t-3 -47l59 -425h4l251 510h31l102 -510h2q150 299 …